I'd say that the "damaged" thing applies to all the characters in the series.
Yuuno has basically had a completely fucked upbringing, raised in a family of assassins, who now have a massive burden of shame attached to their family's existance.
Tamaki bounces from one relationship to the next, struggling to actually form any kind of real connection with people.
Yamie deflects personal questions with her fictionalised past and the tragic persona that she adopts.
Even Murasaki's father has suffered from the loss of the woman he truly loved, and is now trapped in a marriage with someone who treats him like dirt.