That really is awkward. If she's a good, healthy therapist (and this could be the litmus test), but you should be able to bring up how awkward it was for you to have her bring her grief and angst into your therapy session. She could then step back, take a look at what she did, acknowledge that it was unprofessional of her, and apologize. She ought to be able to 'take' anything you need to say about it.

If you don't talk to her about it, it could cause you trouble in the relationship. If you do talk and it goes well, it could really enhance the relationship. If she reacts badly, then that's probably your cue to go on a new therapist-hunt.