Standards?
I don't think you're being consistent with regards to the issue of men and having standards (e.g. You want to have sex with someone to whom you are attracted and complain when someone suggests that you could have sex if you lowered your standards.) and women and having standards (e.g. You give an example where a girl could probably find someone to have sex with her, but ignore the fact that she might have the exact same problems as a man when it comes to getting someone she finds attractive to sleep with her).
I think you would find that if you were a woman you would experience the same sorts of problems that you do now.