You can hide music from your library. Apple put out a support page on how to do exactly that something like a week after the U2 debacle. Here's how to delete f

You can hide music from your library. Apple put out a support page on how to do exactly that something like a week after the U2 debacle. Here's how to delete from iCloud Music Library: https://support.apple.com/en-us/HT201323 https://support.apple.com/en-us/HT201323 Here's how to delete iTunes Store content: https://support.apple.com/kb/HT204343 https://support.apple.com/kb/HT204343 For the latter, it says that deleting something you haven't downloaded will hide it from your purchase history as well.