Thanks for the feedback!

I don't think it bothers me enough to bring it up to her. Like I said, I like that it means she remembers and thinks about the things her clients say, I think it's more my issue that I feel in competition with her other clients (who I don't even know, other than from what she tells me about them). If I bring it up at all, I am sometimes tempted to do it in a joking manner, like "I wonder what you say about ME to your other clients? Something like 'I have this client who won't stop emailing me, but I don't know how to tell her nicely to get a life...'"

Oh, but she did tell me about a client who died once and I was kind of like ... I later did tell her that one bothered me and we talked about it. It was in the context of her trying to get me to see the seriousness of my illness, but it was just a poorly timed and worded example.

She is not inexperienced or otherwise unethical in any way. She self-discloses a lot but always in meaningful ways, about her own recovery usually, which I find helpful. And I like that she is not as closed off or... careful, as other therapists I've seen. I know she is not perfect and I like that about her. To me it makes her more real. I know some people have issues with this though.