“obviously not a Jew. Why should a Torah prohibition of “fill in the blank” be applied to her”
because my dear feminist, all acts that are immoral according to common reason, are forbidden to ALL human beings. this was true before Matan Torah, which answers a huge number of kashas (example: how could Kayin have been punished for manslaughter when there was no Law). and it still applies to Bnai Noach after Matan Torah as well. The 7 Mitzvos you are probably familiar with are by no means all inclusive.