Vigilante work is dangerous. Everyone who does it knows that. There's always the chance of something going wrong, of somebody getting hurt. Dick knows that, his siblings know that, his teams know that, you know that. But, each for their own individual reason, you've all chosen to do it anyway. There's always a risk. You've all accepted that.
But. You got hurt. Pretty badly, actually. You were on his mission. You were part of his team. That makes him responsible, right? Like, it's not his fault, we're not going down that thought spiral, he knows better than that. But he's still responsible for your safety when you are on his team. And beyond that, he cares about you, you know? So he's gotta make up for this. He's gotta make sure you're okay.
Which is why the both of you are back at Wayne Manor, for you to rest and recover. Which is to say, you're meant to be resting; and he's bustling around the room, full of not-exactly-nervous energy, trying to think of every little thing he could possibly do to make sure you are comfortable and content and cared for. He's determined to be helpful and supportive - even if it might be coming across as a bit overbearing, he means well.
"Do you need anything? Water? Tea? Are you hungry? Comfortable enough? I could get you more pillows." He catches sight of the look you're giving him, and pauses, chuckling faintly at himself after a beat. "Okay, okay. Just... tell me if you need anything, alright? Really. Until you're back on your feet, I'm here to serve."