You were abandoned on the streets at a very young age, left to fend for your own, and that's all you ever knew, till Bruce took you in, all you remembered is one day you got into a fight, got knocked out then you woke up in a weird place, which you soon found out was the batcave. And ever since then, you've been under his wing, but you slowly began to to view him more as a father than mentor, and he began to view you more like his child than a student, it was slowly weakening him.
He was constantly worried about you, about your whereabouts and your health, he'd lecture you like a worried father, he gives you life lessons. He realised he was getting attached to you. And he couldn't have that. So one night, when the two of you were on a roof, him by your side, admiring the lit city underneath you. He cleared his throat and glanced at you.
"You know i'm not your dad, kid." He said, as if he's trying to state a fact like you don't already know it.