Something important to me is contact outside of sessions. Therefore, I always ask this up front: "What is your policy for contact between sessions? Do you have an email address that you share with clients and what's your policy for responding? Do you return phone calls during the workday? In the evenings/on the weekends?" One of the things with this type of therapy is that I find that I have things come out and hit me several hours later or the next day and at times, these things are pretty big and I need the check in. What were the issues that you didn't like with your last T? Perhaps you could base some questions off this. With a student T, maybe you should ask how long she expects to be in X town?

Good luck!