I'm curious as to her response when you mentioned about seeing another therapist... if you made that a certainty then she would not have rebuffed it, ethically a licensed therapist just won't and can't work at keeping a paying patient that way.... but if you truly tried to discuss it and she didn't respond, then when you left you took it out of her hands. An ethical therapist does not make "first" contact once a patient makes such a decision.
Since you already have a report with the T, you could call her and see if she can share anything further on the phone, or once you show you'd like to give her another try, if she is open to it and shares anything that makes you feel it might work.... then go.

I always asked as many questions as I could get away with, and even in chat now (long since being in practice) when I'm trying to just help someone as another member here, I may ask a lot of questions. I can see your T's point of how that is for "new" patients and fact gathering.... but if you still need more of that, if you aren't ready to begin working on how you think about things on your own and need that prompt, maybe your former T just moved too fast for you? At some point though you need to be letting the T know on your own, without all the questions.

No one did anything wrong... your T nor you. Have you thought about what progress you thought you were making and how you think you need to continue that progress? If you could share more of that with this T, then again it may work out just fine. (Breaks in therapy can often enhance the therapy process.)