Here are a few slightly different possibilities.

Because stability is important to you, perhaps ask candidate therapists (by phone or email) how long they have been at their present job location.

Perhaps ask candidate therapists (by phone or email) how they would propose to address your fear. You might find someone with an interesting perspective, one that appeals to you.

Think about how you would want to start out with a new T. Would you want a conventional office setting? Or perhaps you would want something a little different at first. Maybe phone or email work first?