I would feel like I had really slipped down a rabbit hole if I was seeing a therapist to deal with my relationship with a therapist. but that's just me.

I am not trying to hurt anyone's feelings, but I wonder about this strategy.

I agree with R-9. I have a feeling that you can repair the problem given that you shared exactly what your issues are....I would always suggest going that route, rather than creating a triangular relationship, which I feel can be problematic.

Just my two cents!