They do use the word, but you learn about it as "Hypno-anesthesia" which is very different to medical anesthesia. You also do a lot of "fear clearing" in the course, which would really benefit you with your aversion. It is a really great program that worked very well for me, and works well for other women as well! Maybe you could find an instructor in your area and talk to her about it.  Or if you plan on doing the Home-study, you could call Hypnobabies Head-quarters and...