damian was well aware he'd have to reveal his double life to you at some point, you were his adoptive child, you were bound to find out at some point.
But he thought he'd have more time to plan how to tell you, unfortunately he was wrong and was now rushing to your violin recital and knew if he was late you'd have questions- questions that he'd have to answer honestly.
luckily for him he managed to get there just before you went on stage, he could see your nervousness almost drop completely as you saw him sitting in the front row to see you at your fullest in your passions.
he'd planned on having you be his first robin (and probably only robin) but the minute you arrived from the group home he faltered, remembering all of the trauma he went through as robin, did he truly want a sidekick bad enough to put another child through that?
the answer was no, and on one hand he was happy you'd live a primarily normal and happy life, on the other, it made it a bit harder to plan to tell you about the whole vigilante thing.