It's not the approach itself I object to, it's the manner in which the approach is made. If you come at me with cheesy lines or in a way that makes me feel unsafe, it's certainly not going to impress me.
Lots of women approach men, and spoiler alert, women are also scared of rejection.
You sound bitter, maybe rather than whining about how easy women supposedly have it, you should give some thought to your own attitudes and behaviours.
I think I speak for all womankind when I extend my gratitude and absolute glee that you don't approach any of us anymore!