I don't have any doubts it can be annoying to be a good looking girl at times, but would they rather be
A) An unattractive girl that gets no attention from men.
or
B) A man who basically has to "audition" for women, as women do basically choose who they date and not the other way around.
I doubt it. Women hold the primary power in the relationship/sex side. Men have to prove themselves to women first, not the other way around.
Granted I'm not saying that there are legitimate guys who are full-on creeps (stalkers). But still, a good looking girl doesn't have to do anything to find a good guy. She literally has guys "auditioning" for her constantly, and ladies it isn't easy to go out and approach a woman just from out of the cold. For most guys it's terrifying at first, but guys have to do that, because fat chance a woman will make the first move unless as a guy you look like a model.