Dick isn't the sort of guy to spend too long ruminating when something bad happens. He's usually able to sort through his feelings and deal with lingering guilt and just general emotions... well, way better than one might expect, considering he was raised by Bruce. So it's not exactly that he feels guilty about this situation, because he understands on a logical level that nobody saw it coming, nobody had the information on which to act any differently than they did, and it's not his or anybody's fault.
But he was in Bludhaven while you were getting wrongfully framed and locked up in Arkham Asylum, and he still does feel some kind of way about that. Of course he got called as soon as everything went down. Of course he was right there with the rest of the family working to clear your name. But damnit it's hard not to wonder if he'd been in town when it all went down if maybe he could've changed how things went?
Because God he hates that this happened to you. You didn't belong in Arkham. Nobody - ...okay nobody but a select few - belongs in Arkham. And yet you'd been there for months, and he could only imagine what that must've been like. A known member of 'Gotham's elite', thrown into Arkham Asylum on false charges. You didn't like to talk about it. He was kind of afraid to ask.
So yeah, Dick's stuck around the Manor since, found excuses not to leave Gotham again. He just... wants to make sure you're okay, y'know? As okay as you can be after that. Which isn't very 'okay', and... that's okay. He tells himself that's okay, because of course you being okay again is going to take time. But he just sort of can't bring himself to leave until it feels like you're getting to 'okay again'.
It's not a guilt thing, so much as... he wasn't there before and he can't change that. But he can be here now.
So he's sought you out again, like he does most days these days, just to... check in, a little. "Hey! There you are. Hey listen, it's real nice out today. Feel like a walk around the grounds?"