Are you categorically against seeing a new T for any length of time and for any reason? I totally get that you don't want to start over in therapy with a different therapist and build a new relationship with somebody else. But this seems like the kind of situation that would be tailor made to consult with another therapist, maybe one or two sessions, to see if the other therapist could give you some insight or tips or a different perspective.

I can see where it would be impossible to work through the issue of feeling rejected with the person who rejected you. A parallel would be trying to talk through a break-up with the person who dumped you. I can tell you from experience that that just makes things worse. So maybe going to somebody who understands therapy and who you can explain the situation to and can get some advice from would be helpful. It might be easier to not feel like you're being repetitive or annoying or needy or whatever if it's some different T who you don't have any feelings toward.