In most jurisdictions, felony convictions can be established without intent being proven, but the jury is offered varying degrees of the charge upon which to convict. For example, here in New Jersey (and in most other states), if you're talking on a cell phone while driving, not paying attention to the road, and you hit someone walking along the shoulder, killing them, you can be charged with a lesser degree of murder known as criminally negligent homicide. You didn't INTEND to kill the person, but your actions created an extrodinary, unjustifiable, and preventable risk that set it apart from sheer accident.
The problem with sexual/gender crimes is indeed in the question of intent, but also in the fact that no such distinctions are drawn for degrees of the crime. A man pulls a woman off the street, into the bushes, and rapes her at knifepoint, that's intent. A woman regrets the sex she had under the influence of alcohol the morning after and decides that it wasn't consensual, the same charge of felony sexual assault (rape) gets filed -- with the exception of a few municipalities scattered throughout the country and the state of Colorado, which have first and second-degree sexual assault provision in their respective penal codes.
Same thing with sexual harrassment. A male supervisor threatens to fire a woman and then implies she can save her job if she grants him sexual favors, that's intentional harrassment. A man says, "Hey, you look nice today" to a female co-worker and she takes it the wrong way, there's nothing intentional about that (at least nothing that could be proven in a court).
Distinctions between intentional sex/gender crimes and negligent ones would be nice, but crimes can take place without intent nonetheless.