It would absolutely annoy me! Definitely bring it up with her. I know it's difficult, but it's an important discussion to have.

The armchair psychologist in me wonders if she's unconsciously wanting to communicate with your ex (given your recent thread).

The seasoned therapy client in me thinks, WTF?? Especially since even when I saw my T 4x a week for 75 minutes each time, he probably never said my name 3x in one session... how many times do you actually use someone's name instead of "you" when talking to them? That also makes me wonder about what I said above, though.

Whatever, I don't want to drown you in speculation... definitely bring it up with her! And, I know you already know this, but I'll say it anyway: try to do it as its happening, so you don't have to stew about it on your own .