It seems like an outdated concept, chivalry -- and in the most traditional sense of the word, it is. Originally, chivalry dictated the code of conduct for medieval knights, who were charged with, among other things, protecting and honoring the weak, aka, women and children. The definition has evolved to include the utmost respect for the fairer sex, still including that sense of honor. But with virtually no women fitting the gender norms of medieval times, trying to be chivalrous can get you in trouble. Not all women are receptive to the constraints of a man supposedly looking out for their best interests. Women today do so much for themselves that the idea of a woman needing protection is almost insulting to some. However, many men are raised to believe just that and act accordingly.
What's important to take from this seemingly outdated concept is the quality of respect. When someone opens a door for someone else, it's not because they believe the other person cannot do so for themselves; it's simply good manners, regardless of the sex of the door opener or the person who walks through. Many men still prefer to pay the check on a date, and while a woman may not deem it necessary, it's still a thoughtful gesture. Modern chivalry is all about respect, and it goes both ways. Call when you say you will; don't stand up your date; show signs of affection and appreciation for one another; and don't be disrespectful, particularly in public. Be gracious when these gestures are shown to you - it's simply good manners, so respond in kind.