Anonymous, I think your question is a bit contradictory. You see, saying a woman is attractive and "genuine" would mean (at least to me) that she is genuine enough not to cheat on her man, right? Now if that's the case, then the answer to your question is most definately "No". It is not possible simply because of the fact that any man who knows his woman, and knows she is extremely attractive and has a heart of gold, would not waste his time (or hers for that matter) with one who is far less attractive in his eyes and cheats on him.
Having said that, if we were to assume that the answer to your question was "Yes" (hypothetically of course), then I would have to agree with "Ms Mgmt". It is not an issue of trust, such a man would be blind not to see how fortunate he is to have a woman of worth by his side.