I'm guessing you're looking for the novel 'Legend of Xiao Yu'. The female protagonist accidentally knocked the male protagonist unconscious and saved him back home. After that, they met, knew each other, and fell in love. In the eleventh chapter of the novel, the female protagonist accidentally killed a person who came to kill her, and the male protagonist chased the female protagonist away. However, after that, the male protagonist chased after the female protagonist and accompanied her all the way, maintaining world peace and showing off their love at the same time. I hope you like this fairy's recommendation. Muah ~😗