I cannot see the logic behind her wanting this to be resolved by mediation. Regardless of whether public opinion is that he did it, she cannot publicly accuse him without facing him in court. This trial by public is not fair, mostly because in a country where sexual offenses is rife, society is more sympathetic toward the victims of such offenses ( and rightfully so ). 

However publicizing her story in the media without recourse to the court, makes me question her end goal. Simply put, it is her right to speak up and seek justice for the alleged offense committed , but at the same time HE had the right to face his accuser in a court of law - which he has indicated that he is willing to do