I appreciate your concern, but suggest you reconsider a bit. Different modalities can make a huge difference to someone with the issues you noted in your original approach, and body-centric therapies where the therapist doesn't just focus on the intellectual interaction seem to me potentially healing for you.

All those terms, but especially SE, are not interchangable and while there is overlap in some types of therapies, looking for practitioners with a focus on things like SE or more broadly the mind-body connection can be worthwhile.

With that said, let me second another point you made: I agree, it's certainly not just the modality that matters. It has been shown through research and my personal experience, that a strong therapeutic alliance is the best predictor/hope of success in therapy and I whole-heartedly believe it.

So the key is to find someone who can do what you need (and I think, based on the limited info in your first post that body-awareness and mindfulness would help) and that the therapist is also someone you respect, like, and can trust, given time. So yes, they must be right for you and know how to do things right for you.