I know a lot of people roll their eyes when "The Gift of Fear" is mentioned yet again. However, there are a couple of things in the conversation from the opening post in this saga that would make me concerned he's a manipulator.
"Have I offended you in some way?" - Well, assuming the OP is not offended (yet), this is designed to produce reassurances that no, one is not offended in the least. In fact, it may make the person addressed try to act friendlier than normal, just to prove that she is not offended, because it implies the speaker has sensed an unusual coldness, even rudeness, in her responses to him.
"You act shy around me" - same thing. This is designed (I think even more than the first phrase) to try to make the person addressed try to disprove the assumption that they are "shy" or not being friendly enough with the speaker.
Together, I'm getting the feeling that there is some manipulation going into making the OP say, "No, of course, I'm not offended. I'm not shy or withdrawn either. Here, I'll prove it - I'll be right over so we can drink beer together and *really* talk, OK?" Probably not "you enter his apartment and are never heard from again" type manipulation, but quite possibly "you have that beer, and now he's convinced you're his girlfriend and won't go away," manipulation.