Feeling over exposed and wanting to end the relationship to avoid that feeling sounds shame-based to me, and it's pretty common.

But the "prove your trust" approach bothers me. She may be "right" in the sense that withholding this may have impeded your progress; but that kind of pressure to meet her need to feel trusted is not appropriate.

My T asked me an open, but direct question in response to a comment I made. I became overwhelmed with anxiety, telling him I couldn't tell him. His response was to ask if I could just agree instead to say I couldn't tell him yet. To leave the door open. And then was as gentle and patient as possible in supporting me to tell. He never pressured me to tell anything, and certainly never tried to make my telling a condition of anything--continuing therapy, trusting him, proving I was working, pleasing him, etc.

You've invested a long time in this relationship. Have you experienced trust in her with other issues? Do you have other misgivings? I think it's very difficult, but you'll need to put this interaction in the context of your history with her to know if your urge to terminate is coming from shame or a limitation in the relationship.