How to relax more around a guy I'm seeing?

I have gone on a couple of dates with this guy and I swear I probably seem like a deer in headlights most of the time. Like I can't look him in the eye or even at his face most of the time. And when I do, I get super nervous and awkward. Truthfully, I get scared like he's going to try to kiss me or get physical in some way with me. I'm older, 23, and I know this may sound weird but physical contact makes me uncomfortable. Even hugs are unless I know them pretty well. I feel like it may stem from the fact that my parents never made physical contact growing up and they divorced while I was in middle school. So physical displays of affection is abnormal to me. I wish I wasn't this way. I'm frustrated because I can't truly relax out of this constant fear that I have of having to be physical. Truth be told, this is one of the biggest reasons I've never tried being in a relationship. I'm not sure what to do.
How to relax more around a guy I'm seeing?
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