What if both parties collude against you? Then you're in even more trouble. I don't get this paranoia against mixed gender one on one meetings at work. You're truly paranoid. I hope this is only a problem in the US. I have never heard of it in Germany or Europe. Do you really have an Anstandswauwau (chaperon) standing by? I would feel very weird participating only because a man and a woman cannot be trusted to behave professionally in a work environment.