Just realize one thing: if a work relationship goes sour, SHE has all of the advantages. All she has to do is say the words, "Sexual Harassment" and you WILL be terminated, guilty or not. I've seen it happen many, many times.
Management isn't going to listen to the accused, just the allegation is enough for them to decide you are a liability (after all, if you weren't guilty, she wouldn't have accused you, right) and toss you.
Maybe it'* a short term job, but that termination is going to be sitting there to trip you up later. Maybe the next job won't ask you why you left, or maybe they won't check. But if they do....
"I have a hammer! I can put things together! I can knock things apart! I can alter my environment at will and make an incredible din all the while! Ah, it'* great to be male!"