I imagine she didn't say she was Jewish as she would have been taking over the conversation and making it about her. When I said I play guitar my T didn't say he did too - it came up another time. I remember once I was telling my T something and he said he knew what I meant (it was something most people don't know about) and I felt kind of irritated as I had actually wanted to explain it my way.

My T says he needs to be careful not to overwhelm me with too much info when I asked a question about his own T, namely if they'd been male or female.

As to what you said about how your T couldn't understand what you were going through, she couldn't even if she had done therapy for decades as she is not you. You were telling her you felt she couldn't understand you and if she disagreed that would be invalidating. The conversation was about you not her. Similarly if you're talking about how you celebrate a Jewish festival do you want her taking over with talk of her own practices?

All just worth considering.