The hook you’re looking for is wp_head
.
functions.php
add_action( 'wp_head', 'se343581_add_preload_tag', 5);
function se343581_add_preload_tag()
{
echo '<link rel="preload" href="'.
plugins_url('/gdpr-cookie-compliance/dist/styles/lity.css') .
'" as="style">';
//
// -- if added in plugin file --
// echo '<link rel="preload" href="' . plugin_dir_url( __FILE__ ) . 'some_subdir/file_name.css" as="style">';
}