So let me get this straight. While Bruce is away being Batman and doing his best to help people, a 13-year old girl who just tried to seduce Bruce Wayne at a party comes to his house, to 'ask for help', with Alfred actually letting her come inside to wait. While there, the girl steals a vase, which she then uses to pay, through her much older boyfriend, the drugs on which she overdoses. That to you screams that Batman let that poor girl die?
Wow, Batman seriously can't do anything right, can he?