Most T's have a specialty of some sort. It doesn't mean it's what they do all the time. My first T specialized in substance abuse counseling, which is a problem I've never had, and I spent 5 years with her, off and on, for my depression and assorted other issues. It worked out fine.
If you are in business for yourself, as this woman is, it behooves you to be "structured and businesslike" or you won't last very long. That doesn't mean that's the way she is with clients.
My vote is, relax -- it'll probably be OK.
Candy