The first thing to remember is that Bruce had no idea you existed until a few hours ago. He should have known, Talia had already done it once, he should have expected it again, but he did not. Damian had been considerably easier, in the sense that he was old enough to understand why Talia had left him in his care.

"Hey, I'm your dad, I'm going to take care of you, okay?" Bruce says to you, ruffling your hair.