You have it backwards. Scars, bruises, eyepatches, etc are chick magnets. It screams "I am a warrior and am not afraid to fight, get injured, or die because I will always prevail and fight again. Try me, motherfucker." If your scar backstory doesn't reflect this, make something up and deliver with deadpan confidence. Women will buy it because biologically, they're looking for a nest provider that will always come through. They have no rationale to override this instinct. It's all hardwired to their feels.
If you don't believe this will work, I challenge you to test this theory on throwaway chicks. Just try it for fun, see what happens.