diff --git a/src/wp-admin/includes/admin-filters.php b/src/wp-admin/includes/admin-filters.php
index 8e3da338c5..b5adb946cf 100644
--- a/src/wp-admin/includes/admin-filters.php
+++ b/src/wp-admin/includes/admin-filters.php
@@ -60,7 +60,8 @@ if ( ! is_customize_preview() ) {
 add_action( 'admin_print_scripts', 'print_emoji_detection_script' );
 add_action( 'admin_print_scripts', 'print_head_scripts', 20 );
 add_action( 'admin_print_footer_scripts', '_wp_footer_scripts' );
-add_action( 'admin_print_styles', 'print_emoji_styles' );
+add_action( 'admin_enqueue_scripts', 'wp_enqueue_emoji_styles' );
+add_action( 'admin_print_styles', 'print_emoji_styles' ); // Retained for backwards-compatibility. Unhooked by wp_enqueue_emoji_styles().
 add_action( 'admin_print_styles', 'print_admin_styles', 20 );
 
 add_action( 'admin_print_scripts-index.php', 'wp_localize_community_events' );
diff --git a/src/wp-includes/admin-bar.php b/src/wp-includes/admin-bar.php
index ca35a56ae8..d58e9874ed 100644
--- a/src/wp-includes/admin-bar.php
+++ b/src/wp-includes/admin-bar.php
@@ -1225,32 +1225,51 @@ function wp_admin_bar_add_secondary_groups( $wp_admin_bar ) {
 }
 
 /**
- * Prints style and scripts for the admin bar.
+ * Enqueues inline style to hide the admin bar when printing.
  *
- * @since 3.1.0
+ * @since 6.4.0
  */
-function wp_admin_bar_header() {
-	$type_attr = current_theme_supports( 'html5', 'style' ) ? '' : ' type="text/css"';
-	?>
-<style<?php echo $type_attr; ?> media="print">#wpadminbar { display:none; }</style>
-	<?php
+function wp_enqueue_admin_bar_header_styles() {
+	// Back-compat for plugins that disable functionality by unhooking this action.
+	$action = is_admin() ? 'admin_head' : 'wp_head';
+	if ( ! has_action( $action, 'wp_admin_bar_header' ) ) {
+		return;
+	}
+	remove_action( $action, 'wp_admin_bar_header' );
+
+	wp_add_inline_style( 'admin-bar', '@media print { #wpadminbar { display:none; } }' );
 }
 
 /**
- * Prints default admin bar callback.
+ * Enqueues inline bump styles to make room for the admin bar.
  *
- * @since 3.1.0
+ * @since 6.4.0
  */
-function _admin_bar_bump_cb() {
-	$type_attr = current_theme_supports( 'html5', 'style' ) ? '' : ' type="text/css"';
-	?>
-<style<?php echo $type_attr; ?> media="screen">
-	html { margin-top: 32px !important; }
-	@media screen and ( max-width: 782px ) {
-		html { margin-top: 46px !important; }
+function wp_enqueue_admin_bar_bump_styles() {
+	if ( current_theme_supports( 'admin-bar' ) ) {
+		$admin_bar_args  = get_theme_support( 'admin-bar' );
+		$header_callback = $admin_bar_args[0]['callback'];
 	}
-</style>
-	<?php
+
+	if ( empty( $header_callback ) ) {
+		$header_callback = '_admin_bar_bump_cb';
+	}
+
+	if ( '_admin_bar_bump_cb' !== $header_callback ) {
+		return;
+	}
+
+	// Back-compat for plugins that disable functionality by unhooking this action.
+	if ( ! has_action( 'wp_head', $header_callback ) ) {
+		return;
+	}
+	remove_action( 'wp_head', $header_callback );
+
+	$css = '
+		@media screen { html { margin-top: 32px !important; } }
+		@media screen and ( max-width: 782px ) { html { margin-top: 46px !important; } }
+	';
+	wp_add_inline_style( 'admin-bar', $css );
 }
 
 /**
diff --git a/src/wp-includes/default-filters.php b/src/wp-includes/default-filters.php
index 5add466889..1a20c919d2 100644
--- a/src/wp-includes/default-filters.php
+++ b/src/wp-includes/default-filters.php
@@ -357,7 +357,8 @@ add_action( 'switch_theme', 'wp_clean_theme_json_cache' );
 add_action( 'start_previewing_theme', 'wp_clean_theme_json_cache' );
 add_action( 'after_switch_theme', '_wp_menus_changed' );
 add_action( 'after_switch_theme', '_wp_sidebars_changed' );
-add_action( 'wp_print_styles', 'print_emoji_styles' );
+add_action( 'wp_enqueue_scripts', 'wp_enqueue_emoji_styles' );
+add_action( 'wp_print_styles', 'print_emoji_styles' ); // Retained for backwards-compatibility. Unhooked by wp_enqueue_emoji_styles().
 
 if ( isset( $_GET['replytocom'] ) ) {
 	add_filter( 'wp_robots', 'wp_robots_no_robots' );
@@ -647,6 +648,9 @@ add_action( 'widgets_init', '_wp_block_theme_register_classic_sidebars', 1 );
 // Don't remove. Wrong way to disable.
 add_action( 'template_redirect', '_wp_admin_bar_init', 0 );
 add_action( 'admin_init', '_wp_admin_bar_init' );
+add_action( 'wp_enqueue_scripts', 'wp_enqueue_admin_bar_bump_styles' );
+add_action( 'wp_enqueue_scripts', 'wp_enqueue_admin_bar_header_styles' );
+add_action( 'admin_enqueue_scripts', 'wp_enqueue_admin_bar_header_styles' );
 add_action( 'before_signup_header', '_wp_admin_bar_init' );
 add_action( 'activate_header', '_wp_admin_bar_init' );
 add_action( 'wp_body_open', 'wp_admin_bar_render', 0 );
@@ -668,7 +672,8 @@ add_filter( 'embed_oembed_html', 'wp_maybe_enqueue_oembed_host_js' );
 
 add_action( 'embed_head', 'enqueue_embed_scripts', 1 );
 add_action( 'embed_head', 'print_emoji_detection_script' );
-add_action( 'embed_head', 'print_embed_styles' );
+add_action( 'embed_head', 'wp_enqueue_embed_styles', 9 );
+add_action( 'embed_head', 'print_embed_styles' ); // Retained for backwards-compatibility. Unhooked by wp_enqueue_embed_styles().
 add_action( 'embed_head', 'wp_print_head_scripts', 20 );
 add_action( 'embed_head', 'wp_print_styles', 20 );
 add_action( 'embed_head', 'wp_robots' );
diff --git a/src/wp-includes/deprecated.php b/src/wp-includes/deprecated.php
index c7b284cf5c..a341958a4e 100644
--- a/src/wp-includes/deprecated.php
+++ b/src/wp-includes/deprecated.php
@@ -5871,6 +5871,92 @@ function _wp_theme_json_webfonts_handler() {
 	add_action( 'admin_init', $fn_generate_and_enqueue_editor_styles );
 }
 
+/**
+ * Prints the CSS in the embed iframe header.
+ *
+ * @since 4.4.0
+ * @deprecated 6.4.0 Use wp_enqueue_embed_styles() instead.
+ */
+function print_embed_styles() {
+	_deprecated_function( __FUNCTION__, '6.4.0', 'wp_enqueue_embed_styles' );
+
+	$type_attr = current_theme_supports( 'html5', 'style' ) ? '' : ' type="text/css"';
+	$suffix    = SCRIPT_DEBUG ? '' : '.min';
+	?>
+	<style<?php echo $type_attr; ?>>
+		<?php echo file_get_contents( ABSPATH . WPINC . "/css/wp-embed-template$suffix.css" ); ?>
+	</style>
+	<?php
+}
+
+/**
+ * Prints the important emoji-related styles.
+ *
+ * @since 4.2.0
+ * @deprecated 6.4.0 Use wp_enqueue_emoji_styles() instead.
+ */
+function print_emoji_styles() {
+	_deprecated_function( __FUNCTION__, '6.4.0', 'wp_enqueue_emoji_styles' );
+	static $printed = false;
+
+	if ( $printed ) {
+		return;
+	}
+
+	$printed = true;
+
+	$type_attr = current_theme_supports( 'html5', 'style' ) ? '' : ' type="text/css"';
+	?>
+	<style<?php echo $type_attr; ?>>
+	img.wp-smiley,
+	img.emoji {
+		display: inline !important;
+		border: none !important;
+		box-shadow: none !important;
+		height: 1em !important;
+		width: 1em !important;
+		margin: 0 0.07em !important;
+		vertical-align: -0.1em !important;
+		background: none !important;
+		padding: 0 !important;
+	}
+	</style>
+	<?php
+}
+
+/**
+ * Prints style and scripts for the admin bar.
+ *
+ * @since 3.1.0
+ * @deprecated 6.4.0 Use wp_enqueue_admin_bar_header_styles() instead.
+ */
+function wp_admin_bar_header() {
+	_deprecated_function( __FUNCTION__, '6.4.0', 'wp_enqueue_admin_bar_header_styles' );
+	$type_attr = current_theme_supports( 'html5', 'style' ) ? '' : ' type="text/css"';
+	?>
+	<style<?php echo $type_attr; ?> media="print">#wpadminbar { display:none; }</style>
+	<?php
+}
+
+/**
+ * Prints default admin bar callback.
+ *
+ * @since 3.1.0
+ * @deprecated 6.4.0 Use wp_enqueue_admin_bar_bump_styles() instead.
+ */
+function _admin_bar_bump_cb() {
+	_deprecated_function( __FUNCTION__, '6.4.0', 'wp_enqueue_admin_bar_bump_styles' );
+	$type_attr = current_theme_supports( 'html5', 'style' ) ? '' : ' type="text/css"';
+	?>
+	<style<?php echo $type_attr; ?> media="screen">
+	html { margin-top: 32px !important; }
+	@media screen and ( max-width: 782px ) {
+	  html { margin-top: 46px !important; }
+	}
+	</style>
+	<?php
+}
+
 /**
  * Runs a remote HTTPS request to detect whether HTTPS supported, and stores potential errors.
  *
@@ -5907,4 +5993,4 @@ function wp_update_https_detection_errors() {
 	$support_errors = wp_get_https_detection_errors();
 
 	update_option( 'https_detection_errors', $support_errors );
-}
\ No newline at end of file
+}
diff --git a/src/wp-includes/embed.php b/src/wp-includes/embed.php
index d75939cce6..9e59f1abc0 100644
--- a/src/wp-includes/embed.php
+++ b/src/wp-includes/embed.php
@@ -1059,18 +1059,22 @@ function enqueue_embed_scripts() {
 }
 
 /**
- * Prints the CSS in the embed iframe header.
+ * Enqueues the CSS in the embed iframe header.
  *
- * @since 4.4.0
+ * @since 6.4.0
  */
-function print_embed_styles() {
-	$type_attr = current_theme_supports( 'html5', 'style' ) ? '' : ' type="text/css"';
-	$suffix    = SCRIPT_DEBUG ? '' : '.min';
-	?>
-	<style<?php echo $type_attr; ?>>
-		<?php echo file_get_contents( ABSPATH . WPINC . "/css/wp-embed-template$suffix.css" ); ?>
-	</style>
-	<?php
+function wp_enqueue_embed_styles() {
+	// Back-compat for plugins that disable functionality by unhooking this action.
+	if ( ! has_action( 'embed_head', 'print_embed_styles' ) ) {
+		return;
+	}
+	remove_action( 'embed_head', 'print_embed_styles' );
+
+	$suffix = wp_scripts_get_suffix();
+	$handle = 'wp-embed-template';
+	wp_register_style( $handle, false );
+	wp_add_inline_style( $handle, file_get_contents( ABSPATH . WPINC . "/css/wp-embed-template$suffix.css" ) );
+	wp_enqueue_style( $handle );
 }
 
 /**
diff --git a/src/wp-includes/formatting.php b/src/wp-includes/formatting.php
index 8d6d4341c1..76f77c2a90 100644
--- a/src/wp-includes/formatting.php
+++ b/src/wp-includes/formatting.php
@@ -5858,36 +5858,34 @@ function wp_spaces_regexp() {
 }
 
 /**
- * Prints the important emoji-related styles.
+ * Enqueues the important emoji-related styles.
  *
- * @since 4.2.0
+ * @since 6.4.0
  */
-function print_emoji_styles() {
-	static $printed = false;
-
-	if ( $printed ) {
+function wp_enqueue_emoji_styles() {
+	// Back-compat for plugins that disable functionality by unhooking this action.
+	$action = is_admin() ? 'admin_print_styles' : 'wp_print_styles';
+	if ( ! has_action( $action, 'print_emoji_styles' ) ) {
 		return;
 	}
+	remove_action( $action, 'print_emoji_styles' );
 
-	$printed = true;
-
-	$type_attr = current_theme_supports( 'html5', 'style' ) ? '' : ' type="text/css"';
-	?>
-<style<?php echo $type_attr; ?>>
-img.wp-smiley,
-img.emoji {
-	display: inline !important;
-	border: none !important;
-	box-shadow: none !important;
-	height: 1em !important;
-	width: 1em !important;
-	margin: 0 0.07em !important;
-	vertical-align: -0.1em !important;
-	background: none !important;
-	padding: 0 !important;
-}
-</style>
-	<?php
+	$emoji_styles = '
+	img.wp-smiley, img.emoji {
+		display: inline !important;
+		border: none !important;
+		box-shadow: none !important;
+		height: 1em !important;
+		width: 1em !important;
+		margin: 0 0.07em !important;
+		vertical-align: -0.1em !important;
+		background: none !important;
+		padding: 0 !important;
+	}';
+	$handle       = 'wp-emoji-styles';
+	wp_register_style( $handle, false );
+	wp_add_inline_style( $handle, $emoji_styles );
+	wp_enqueue_style( $handle );
 }
 
 /**
diff --git a/src/wp-includes/theme-templates.php b/src/wp-includes/theme-templates.php
index 2f233ca1d1..3604dc6dbe 100644
--- a/src/wp-includes/theme-templates.php
+++ b/src/wp-includes/theme-templates.php
@@ -118,14 +118,8 @@ function the_block_template_skip_link() {
 	if ( ! $_wp_current_template_content ) {
 		return;
 	}
-	?>
 
-	<?php
-	/**
-	 * Print the skip-link styles.
-	 */
-	?>
-	<style id="skip-link-styles">
+	$skip_link_styles = '
 		.skip-link.screen-reader-text {
 			border: 0;
 			clip: rect(1px,1px,1px,1px);
@@ -154,9 +148,17 @@ function the_block_template_skip_link() {
 			top: 5px;
 			width: auto;
 			z-index: 100000;
-		}
-	</style>
-	<?php
+		}';
+
+	$handle = 'wp-block-template-skip-link';
+
+	/**
+	 * Print the skip-link styles.
+	 */
+	wp_register_style( $handle, false );
+	wp_add_inline_style( $handle, $skip_link_styles );
+	wp_enqueue_style( $handle );
+
 	/**
 	 * Print the skip-link script.
 	 */
diff --git a/tests/phpunit/tests/blocks/editor.php b/tests/phpunit/tests/blocks/editor.php
index f319ace413..0682839605 100644
--- a/tests/phpunit/tests/blocks/editor.php
+++ b/tests/phpunit/tests/blocks/editor.php
@@ -18,6 +18,8 @@ class Tests_Blocks_Editor extends WP_UnitTestCase {
 
 		parent::set_up();
 
+		remove_action( 'wp_print_styles', 'print_emoji_styles' );
+
 		$args = array(
 			'post_title' => 'Example',
 		);
diff --git a/tests/phpunit/tests/oembed/template.php b/tests/phpunit/tests/oembed/template.php
index fca6aadd95..12092ff669 100644
--- a/tests/phpunit/tests/oembed/template.php
+++ b/tests/phpunit/tests/oembed/template.php
@@ -10,6 +10,8 @@ class Tests_Embed_Template extends WP_UnitTestCase {
 
 		global $wp_scripts;
 		$wp_scripts = null;
+
+		remove_action( 'wp_print_styles', 'print_emoji_styles' );
 	}
 
 	public function tear_down() {
diff --git a/tests/phpunit/tests/theme/wpAddGlobalStylesForBlocks.php b/tests/phpunit/tests/theme/wpAddGlobalStylesForBlocks.php
index 02ae7e0253..b009ac7233 100644
--- a/tests/phpunit/tests/theme/wpAddGlobalStylesForBlocks.php
+++ b/tests/phpunit/tests/theme/wpAddGlobalStylesForBlocks.php
@@ -18,6 +18,11 @@ class Tests_Theme_WpAddGlobalStylesForBlocks extends WP_Theme_UnitTestCase {
 	 */
 	private $test_blocks = array();
 
+	public function set_up() {
+		parent::set_up();
+		remove_action( 'wp_print_styles', 'print_emoji_styles' );
+	}
+
 	public function tear_down() {
 		// Unregister test blocks.
 		if ( ! empty( $this->test_blocks ) ) {