[24M] confused by physical responses of [25F] to light touching

I've been on two dates now with a women I met on OKC. We've talked a lot online and via text before the first date, and between the first and the second date (which was yesterday) and briefly last night after the date. When were are out, everything seemed to go well. I was having a good time and so was she, from what I could tell. We had a lot of good conversations, etc.

What is bothering me, is that whenever I would lightly touch her, like put my hand on her back, put my hand on her knee when sitting, be standing next to her so that our arms would touch, she would pull away. It's not that she would jerk away in some over the top reflex, but just subtly move herself a couple of inches away.

I haven't tried to go in for a kiss or hold her hand, since it appears that she is uncomfortable with me just touching her arm.

All of my previous dating has been hook-up based, so physical interaction has never been a stumbling block for me.

Is this what "taking it slow" means, or do I need to be more forward and just go in for a kiss? I see it as A) she really needs it to be a couple date in before she is comfortable with a guy or B) my moves have been too subtle for her to actually register, and I just need to kiss her already. But if I pick wrong, I may mess this up.

tl;dr The woman I am dating does not seem comfortable with light physical contact, and I have no idea how to proceed in that department with her.