I admit I don't understand most of your issue. I grew up with years of DV and I feel this last statement of yours starts to get at an important insight--that a therapist with a similar issue has to be careful not to assume they understand what a client is truly going through. When they do that, they stop listening. Your fears are going to be similar, but still different, and they can interfere with a client's therapy.

I don't know that it's like to dance around a school assignment that appears to rely on honesty, and is also triggering for you, but how does that fare in terms of keeping your issues out of the therapy room? I hope you can work this out with either your therapist or another that can understand what's going on.