I don't give a shit about wealth, so that wouldn't phaze me one way or the other. As for intelligence, I find that an IQ of 156 and lifetime of reading means that, generally speaking, woman who aren't intelligent bore me to tears, so: yes, please. I'm a private person, so it might bother me if I get media attention by proxy, but if it's limited to her, then it's fine (as long as she's fine with it, obviously). As for physical power, I find women who can beat the shit out of me rather sexy. Did I miss any definition of power?
More realistically, however, since I'm ugly, socially awkward and don't get out much, I would date/marry pretty much any woman, so I may not be a good indication of most men.