I'm inclined to whatever strikes my mood at the moment. (Same philosophy as my tea-drinking, as it were.) Usually it's something bright and peppy to get me through the day. Bowling For Soup? Katy Perry? Panic! At the Disco? Why the heck not.
Not really my thing, but I guess it would be authentic.
My tastes run from indie rock to jazz to dub. My tea drinking does not influence my music choice at all. Last night I was listening to Death Grips while drinking some green tea- not a relaxing music by any means but I like it.
I always tend to put on some Miles or Coltrane, sometimes jazz24. It goes perfectly with puerh, gained the habbit through one of my teafriends. If not jazz I put on some rock classics (David Bowie, Pink Floyd, Radiohead..),instrumental music like Toe (great Japanese band), soft electronics with some oriental sounds (Bonobo, Onra) or some good old Mozart.
love the jazz thing, but I listen to more modern guys like: dave douglas, ambrose akinmusire, arve henriksen (check this guy out, seriously). I also listen to alot of industrial stuff like skinny puppy, nurse with wound, etc....