Coquette

A coquette (which is how Katrina is described) is defined as a woman who flirts lightheartedly with men to win their admiration and affection. A northern southern belle. She has no interest in Ichabod at all but pretends she does in order to make Brom jealous. Brom is the only man in the village she could even consider marrying, but she's not going to let him assume it's automatic because he's such hot stuff and she has no other choice. The idea that Brom thinks he has to fight to win her just makes her little old day.