It doesn't sound like your hugs are in any way inappropriate nor is your therapist being unprofessional. Sometimes we just have to learn to accept the kindness offered us by others in our lives without negating it or qualifying it. I used to have a hard time accepting compliments. I've learned finally to just accept the compliments and say "thank you" without putting a "but" into my response or even into my thoughts. Can you find a way to accept a hug without thinking there has to be all sorts of rules about it, that you might be judged for it, and without judging yourself? I suspect the only person judging you about this is you.