^^^ Me!
I'd freak if my therapist touched me! But that's just me!
It can lead to transference. So, most certainly should be heavily discussed and then if allowed, heavy boundries on either side should be out in the wide open and adhered to for sure! In my opinion anyway.
Neither do I! I fiddle with something in my hand (and my therapist replaces that something with something else if I tear that first something up) and stare at the floor, or the side table that holds a lamp and a clock. If my therapist wants eye contact, he will almost get on his knees to try to meet my eyes and then I will usually look out the window over my right shoulder which he can't compete with so he'll generally change the subject at that point or try to redirect it to make me feel safer.
I certianly would do this very slowly, if it's done at all. But, it sounds like you guys need to talk about it more. It sounds like it's a heavy boundry for her. And maybe for you too if you don't even look at her? Maybe you are trying to go too fast and maybe it just feels like you need a hug from her when, what you actually need maybe something different entirely? Maybe ask her why you could be feeling like you need a hug from her when you can't even look at her? Maybe talk about that feeling and why it's there? Just a thought.