Feminism vs chivalry?

I opened a door for a coworker of mine and she said “ don’t ever do that again, I can do it myself” I replied “ I apologize, it’s the way I was raised” she than said “ your parents raised you to treat women as they are beneath men, and that’s why you opened the door”
I’ve tried to understand her views but I cannot wrap my head around that interaction.
I’m interested in other people’s opinions.
Feminism vs chivalry?
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