It appears more than a little weird that he dismissed your concerns initially by saying you could've googled your symptoms.

In my experience (small, unrepresentative sample etc), therapists do a lot of song-and-dance and hemming and hawing around giving a specific diagnosis. At the same time, they also appear to believe that they need to act "supportive" if clients want to get meds. So, I've found it hard to get a proper read on what they actually think / believe.

I would bring up your concern about the contradiction with the T though -- that sounds like a non-trivial issue for you (regardless of what the "correct" diagnosis is) in terms of just the process of talking stuff over with your T.