Quite frankly, just based on what she's heard the male of the couple say, Genebean is not safe with that guy.
No man who expects sex or feels entitled to sex, especially with a very new friend/acquaintence who is known to be new and somewhat uncomfortable in a poly or swinging situation, should be considered safe to be around.
Do you sincerely want to date people that are unsafe toward your girlfriend?
Now, at first, though I would have been comfortable with giving the female of the couple the benefit of the doubt (even though I personally would consider her off the table just due to her relationship with the unsafe male), after now learning that the female has a past history of lying and cheating.... Think about this critically for a moment. The female has a history of lying. The male has encouraged her to "fuck the shit" out of you, specifically to make Genebean leave. You really want to be involved with folks like this?