My T doesn't specialize in PTSD but she is taking training on Somatic Experiencing and we've been doing it most sessions. We're working very slowly. Right now we're working on my car accident from 10yrs ago. The thought of working on my CSA trauma makes me want to throw up.

Does a T need to specialize in PTSD or can s/he specialize in SA? If you're comfortable with your previous T then maybe start there? If leaving was too painful then definitely find someone else.