Didn't they have dinner together when Taylor was in London for her Hyde Park show, with Kate Hudson/Stella McCartney? She thanked Taylor for the Apple Music thing, it was reported in Vanity Fair.
She seemed a bit pissed when the fan asked Her to perform SLY instead of one of Her songs.
So I wouldn't say She "likes" Adele.
I mean it's only normal to feel a bit insulted if you went to visit them and asked you to sing someone else's song. It's not like he made her sing a katy perry song.