I CANNOT remove an album from my iPhone no matter what I try

I have Neko Case's "The Worse Things Get, The Harder I Fight, The Harder I Fight, The More I Love You" on my phone.

I can't delete it.

I can't swipe to delete it at the album level on the phone.

I can't swipe to delete it song-by-song on the phone.

It is NOT ticked off (either as Artist or as Albums) in iTunes.

It is NOT "manually added" in iTunes.

I've tried re-adding it in iTunes, then unchecking ("removing") it and syncing.

It does not get removed.

I've tried re-downloading it from the iTunes store but it lists itself as "Downloaded".

It's a fine album but I no longer want it on my phone.

How do I delete it?