Then it is her problem to resolve for herself, her concern. Your problem, if you want to continue to work with her, is to explain how she is meeting your needs and how you feel you are doing well working with her. Something gave her the impression she was not meeting your needs; you need to discuss what that something was and "correct" her impression or deliberately take those needs off the table in your work with her. That is the crux of the work, I think, talking together and getting on the same page when there are different impressions of where you are, what you want and what the two of you feel would be best for you.

My T mentioned a couple times maybe I should see someone else who could help me more, she even offered to give me names but I quickly explained that I did not want to ever work with anyone other than her. Whatever the issue was that she was commenting on (I don't remember now what it was), something I was complaining about that she did not feel she had enough expertise to help with, I adjusted my work so it was off the table when working with that T, right then.

It is our life. We hold all the control of ourselves that is possible. If you are going too "deep" for your therapist and she "complains" then you adjust so you do not go that deep. It's not like we only have one problem, one defense, one tendency, one type of difficulty dealing with ourselves or others. When I get frustrated working on X, I drop it and bring up Y and start working on it. If Y has a stone wall pop up, I drop it and start on Z. Wherever we decide to work, it helps the whole. For me it's like a jigsaw puzzle; I do the best I can getting the edges set up then work in this corner, then over in that corner, then an unrelated middle piece; the work continues and eventually there are fewer and fewer pieces and the leftover edges I could not find at first pop out at me and I can put them in place, completing the frame, then a piece becomes available connecting the unrelated middle piece to the frame and the corners grow, etc.

If you want to work with this T, find pieces you can work on with her. If she does not feel she can help you; ask her how you can help her help you! Ask her what she "sees" for you, what some of her difficulties are with you, if there are any fairly straightforward things the two of you can decide on that might help (my T and I decided I would no longer be allowed to say "I don't know" for example). I found deliberately working on something agreed upon together is a great way to make progress.