Her problem is her problem. I would also probably have held the door open, as I was taught that was the polite thing to do. And she probably would have yelled

Her problem is her problem. I would also probably have held the door open, as I was taught that was the polite thing to do. And she probably would have yelled at me the same way she did at you. But as the old, fat, white American guy in the room, I wouldn't let her problem in this area change me for the worse or otherwise bother me.