My T does SE. You have to get used to the "where in your body do you feel that" question. SE is a gentle way to treat trauma. It CAN involve touch but the T, at least mine, makes it very clear what the touch is for. EMDR, IFS, and SE are all good for treating trauma. I think Ts who use these approaches are very accepting and compassionate, something every T should be, of course, but as we know, not all Ts are.
Have you made a list of what you want in a T? You could ask the prospective T if she thinks she is the kind of T you are looking for. But you won't really know until you meet. My T and I clicked right away because she was kind of casual, down to Earth, and compassionate. I had a gut feeling and was right. Good luck!!!!