I personally would feel the same way - and would be a little concerned. Do you feel that you have the relationship with her to be able to talk about what you are/aren't comfortable with? I know from personal experience that therapists often don't realise that some of the things they are saying/doing can have those negative consequences when they are trying to help.

I find that my training has taught me that to talk about other clients:
1) Always have their permission to do so, explaining what will be said and why
2) Never discuss clients who I'm still working with (or at least not their current state). Only talk about progress they have made (what they did, what happened etc) again with their permission
3) Never use any form of identifying information - including when they have sessions etc.

Every therapist is different however and there is a good chance that she is not realising that it is affecting you, or that you are able to identify the person she is talking about.