You did not "destroy" her with facts and logic. You simply wasted your time, energy and effort on a grown up child(which is a woman) who is incapable of understanding logical facts and only operates by emotional reasoning as well as female solipsism.

Women are not important enough or valuable enough to have a logical discussion with, on topics like that because everytime you do so, you simply give her a chance to play her "emotional" card & solipsistic nature right there. Women are like NPCs (Just like simps and white knights), who follow what their specific sisterhood says about "mah patriarchy" that particular day. Women neither have their own opinions, nor do they have their own ideas. Everything they know or believe in, are either copied from men & twisted to follow their man hating ideologies, or just the latest "trendy" thing that their so called "feminism" as well as other isms and ists (that they follow) decided to tell them.

If a woman decides to believe x, tomorrow she will believe in Y. And the next day it will be Z. You just wont know what set of beliefs she will subscribe to tomorrow. As I said, complete emotions as well as solipsism, and no logic. Most of them cannot hold a simple conversation about things that actually matter, rather they love passing time in gossiping and talking useless shi which is not relevant to reality. Use them only for 1 thing and yk exactly what I mean.

Don't respond to female solipsism and emotions with Logic. That is like throwing gasoline on fire. Simply exercise amused mastery at their childish theories and go about your business. It is their parent's duty to raise them properly and correct their mistakes, not Ours.