4 ideas
Rodrigue loves Chimène, but her father insults his. To restore family honor he kills her father in a duel, making the woman he loves duty-bound to demand his death. The plot machine is a single act that turns love and honor into direct opposites.
In Corneille's world honor is not a feeling but an obligation owed to family and rank that overrides personal desire. Characters reason aloud about what honor requires, treating it as a law they cannot refuse without ceasing to be themselves.
Every major character faces a choice where both options are honorable but mutually exclusive, so any decision is also a betrayal. The drama's tension comes from watching noble wills collide rather than from villains.
The play compresses its events into one day and place per the classical rules, which critics attacked as implausible for so much action. Corneille argued that the intensity of noble passion justified breaking convention, sparking the founding quarrel of French classical theatre.