Perhaps this article will help:
Search for music on iPhone - Apple Support
Tap Search, then do any of the following:
- Tap a category such as Pop or Fitness.
- Tap the search field, then tap something you recently chose while searching—a song or artist, for example.
- Tap the search field, tap Apple Music, then enter a song, artist, album, playlist, radio show or episode, station, video, category, curator, or profile.
- Tap the search field, tap Your Library, then enter a song, album, playlist, artist, video, compilation, or composer.
Tap a result to play it.
If you would like to make this suggestion to Apple use this link:
Product Feedback - Apple