Pom, hypnosis doesn't give anyone control over you. It is deeply relaxing and you are always in control. (It is nothing like the entertainment hypnosis you may be thinking of). It's fun really. And it feels wonderful--I felt light calm for hours afterward

The hypnotherapist is the guide, but you are in control. You can learn self-hypnosis too.
There are dentists who specialize in treating patients who are terrified of dentists. Maybe you could look for one and see how a visit goes?