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Next time a woman goes ASD on you like that just ask, "are you nervous?" She'll answer with some sort of blah blah blah answer. Then you ask why she's sitting so far away, but what you are doing is challenging her not to seem nervous and act like a normal person. If she continues being standoffish, politely tell her that you're going to leave and then leave.
It is what it is.
In all seriousness OP. It's a like a rabid cat, you just stay comfortable with yourself. Let her come to terms with what she is feeling. Like jack said, all you're doing is challenging. The key is not to pout about it. My personal favorite is I won't bite. And pat the area where you want her to sit. After you ask if she if she is nervous.