Small scratch on stern thruster

Hi, I’m not sure if I’m in the right forum here… Well, my wife slightly damaged a punto when parked out. At the rear thruster is a little color off, near the wheel running. Since I didn’t want to burden the insurance I said so. Now she had a quote given. 700 euros for the paint of the entire rear thruster. Does she have the right to let the whole thing lak? In addition, the thing was already scratched. On the cost vote The name of the workshop…