Well I think it's really personal for each one of us, but these seem like sound reasons to choose the T. I think it's so important to be able to feel comfortable.
When I started therapy, I just applied to the clinic for an appointment (there's a group of Ts and I didn't specify to see any particular one). I was really shocked to find that T was male - totally my prejudice, I was picturing psychologists as female. But now I'm so comfortable that I think that if, for some reason, I had to change Ts, I would deliberately look for a male T. Also because I had a difficult relationship with my mother, and working with a male T maybe there is no tricky transference as he doesn't resemble my mother in any way shape or form!