"Should the rise of feminism effectively end chivalry?"
I don't know about "should" ... but I know it DID end societally instituted chivalry in the West. Chivalry has since died since our society has accepted the toxic feminist propaganda. Chivalry and feminism cannot co-exist. Feminism wants men to treat women as equals, chivalry tells men to treat women as special. There is NO female to male action on the part of chivalry
Chivalry is NOT just social niceties that any person can bestow upon any other person. There appears to be a purposeful misrepresentation of what chivalry was. It was indeed a code of honour that elevated the status of women (ladies) in the society. In some senses, it can be viewed as the beginnings of a more civilized society that anything that had previously occurred in history.
In the chivalrous code, women had a duty to act like ladies and not like men. Feminism ensured that women were free to drop all their traditional gender roles, and many women no longer know how to act like a lady. As the ladies disappeared, so did the gentlemen. And chivalry vanished.
While we still have gynocentricity as alluded by user Bill, this is not the same as chivalry.