Touch is controversial depending on what kind of therapy the T does. If you're working with a humanist style T for example, not touching you if you asked for a hug would be a failure of therapy.

As far as I know the main case against hugs is that it could lead to sexual acting out. The main stance of T's that don't hug is a 'why risk it' kind of attitude (does this mean they're worried they can't control themselves perhaps?). It seems like these same T's are also not hugging because they're worried it could be held against them in some way if they are ever sued by a client for 'abusing the transference relationship.' They may also want to make sure they aren't leading a client on, or confusing a client, or triggering an abuse memory... strong transference causes people to sometimes interpret the smallest things as signs their T shares their feelings. Limerence - Wikipedia, the free encyclopedia

I should know more of your story, but I'm just super ADD, LOL. It sounds like in your case, you aren't triggered by hand holding, you're not confused and don't think it's a sign the T want's to do you, and you're not worried about suddenly putting the moves on your T since she's sitting so close. I say, if it's not sexual, then it's just a Fin hug, or a hand touching a hand, what's the big deal?!! So on that note, I'm happy your T came around and saw the light, and I hope it goes well for you! Congrats and enjoy your happy moment .