Yay! Just found out that I'm a cultural feminist!
Basically that just means I believe that we the female population of earth have been highly undervalued. Seriously, there's got to be nothing that we can't do if we want to put our minds to it. I mean, who cares for the rough and heavy work? we have better things to do than move heavy stuff around all day. So we leave those to the men. And then they think because they have power, physical or otherwise, they are one norch higher than we are.
The fact that we choose to relinguish such duties to the men shows our intelligence. We are able to bend and twist social norms to our advantage.
Therefore, there is no contradiction between allowing men to do their duties of chivalry to us and our belief that we have been undervalued. The very ability have to a man do us favours simply for the fact that we are female shows that we have the inherent potential/power that has been largely undermined by the rest of the world.