The Cap'n said:Chivalry, and Chivalrous are NOT the concepts suitable for the associations you make.
I agree with CaptDMO, chivalry is about acting like a gentleman, not acting like a woman's lackey.
Case in point; a friend of mines dad always opens door for people, not just women, people. "After you" he'll say in his posh Bretonian accent, whether you're the queen or a cleaner. He's a gentleman.
One day a woman snaps at him as he opens the door for her, "women are perfectly capable of opening doors for themselves!!"
To which he replied:
"My dear lady, I didn't open the door because you're a woman, I opened it because I'm a gentleman."