Although stalking can be done by any gender, it does seem that obsessive behaviour and social maladjustment are more masculine traits in general.
That's not to detract from your suffering - I am sorry to hear of your terrible experience at the hands of this creepy, awful woman. I hope you get this resolved somehow.
I guess the age-old adage is men say yes, women say no. Guys have to get a yes, and it's a very difficult social maze which clearly brings out the people with mental issues. Men are expected to take initiative and be somewhat persistent, and clearly some can't draw the line. On the other hand, for a woman having to keep throwing herself at a guy, probably destroys the image of a romantic relationship much more quickly.
Then again, there's a lot of crazy people out there...
Or maybe it is just more socially acceptable for men, so they make less effort to hide it and are more willing to turn it outward rather than inward.
At this time, we cannot possibly separate out what is the result of biological wiring and what is the result of how people are socialized. There seems to be some evidence that as women gain power and social status and so forth, they start exhibiting some of the same negative traits that are deemed to be stereotypically male.
It may not be that women are more virtuous. It may just be that women get enormously more social pressure to curb certain tendencies, or at least hide them.
There is a clear correlation between aggression and testosterone levels[1]. People who take steroids are more likely to be violent[2]. Men have more testosterone, and thus act different overall. I'm not saying culture doesn't play a role, but try not to underplay biological differences between men and women overall, because they are definite.
That's not to detract from your suffering - I am sorry to hear of your terrible experience at the hands of this creepy, awful woman. I hope you get this resolved somehow.