I'm sorry button. I don't think your T had any idea that disclosing this information about herself would have this kind of impact on you. Or if she did, it was very insensitive of her to do so. Can't imagine the reasoning behind her doing so. Especially after saying that it was unprofessional of your old T to do it.
My T has shared a few struggles he has dealt with, with me. None of it has been anything too traumatic, but I believe it's been to show me that he's also flawed and is working on some things about himself too. While I'm working on my ED, he has told me about his own issues with his weight and about the healthy eating he's doing now to help himself. He self discloses quite often, but always in the context of helping me. I've never once felt like he was dumping his problems on me. I've always walked away from it with a new perspective on what I'm working with.
Perhaps you can share with her what impact this had on you at your next session. This sounds like it needs to be discussed as it sounds like it's had quite an impact on you.