I know when I looked for a T after ex-T abandoned me, I was afraid they would think I was a difficult client. I thought they might blame me for everything. I saw one T for 2 sessions. I quit her myself because she was too religious and too judgemental (not towards me though). Then I found current T. She has never judged me for my ex-T abandoning me. She even tried to work with ex-T to try to get me closure. She allowed me to talk about ex-T as much as I wanted to (except trying to figure out what I did wrong/who was to blame).

So some Ts will let you talk through the negatives/criticisms about other Ts.

But...just as the T you saw, my T will not let me be in individual therapy with another T at the same time as seeing her (group therapy and couples counseling are fine). She believes that there could be conflicting advice and priorities. However, she did try to work with ex-T for me, and she will work with my next T to help me transition.

So if this new T doesn't work, keep trying looking for a new one. A lot of people here have more than one T. And a lot of people have been hurt by a T, but still returned to therapy. I'm sure all of them spent time talking about their relationship with their ex-T.