She wasn't unaware of the reputation of the section of town, but she didn't put much weight to it. Civilian problems were their own, and most shinobi had better things to do than spend their time and money on such things.

So, while Sakura was aware of where he was leaving from, she didn't make anything of it. She did notice that he was being discreet though, so rather than approach him straight away, she just fell in step following after him. Eventually he'd address her, and then he couldn't say she'd blown whatever stealth he was attempting.