I can only agree with Little Hawk. I have seen many women do shows on the street, which were very successful and made fun of men a lot. Off the top of my head, I can think of Shirley Sunflower, Kate the Great and Enigmatic Eve. I don't really think the gender content was an issue. What these performers had, was the charm and wit to get the audience on their side whatever they were talking about.
I don't think I have seen your show Kirsten, because I work in Europe and I am assuming that you work mainly in the US. You could well have had problems working here, but they would more likely have been to do with the situations that all buskers face rather than the content of your show. The police really have better things to do than to harass buskers.
I did read your article, as it happened. It is simply that my own experiences of busking (which admittedly go no further back than 1978)have not yet brought me into contact with the sort of problems which you are talking about. I would agree there are always issues of safety, but unless we agree on how "sexual safety" differs from that, I would say this is a new one for me.
It is a shame I can't PM you, because I would quite happily discuss busking with you. What you obviously believe so firmly is equally obviously rooted in your experience. We have not all had the same experiences - and that is not only because I am a man.