I'm sorry your therapist quit (again). That must be frustrating. It's kinda like that here but with NPs constantly switching patients, coming and going so I kinda understand although there are differences between a pdoc relationship and a t relationship.
But look at this way: Worst case scenario you waste a couple sessions with a dud and you move on to another, best case scenario you find a T that's really helpful who you enjoy seeing. Seems like it should be worth the risk to me. Could you express your concerns with your new T when you see them? Maybe if they're not up to the task they could point you in the right direction to someone who specializes in EDs and handles psychotic disorders as well.
I'm sorry you're in this predicament, and it sucks that you have to go through so many therapists, but try to counteract all the negative "what ifs" with positive "what ifs," or try not to dwell on the "what ifs" at all, whichever eases your fears better.
(And hey, if you don't like your new therapist sounds like you won't have to put up for him/her for long

)