Was he okay with that? If asked any other moment than right now Bruce would have said yes and left it at that. He would have told her that he was alright with that, alright with keeping someone at arms length because to him that made sense. To him that kept them safe. Pushing people away was safer than the risk of having them close. But that was because if he allowed anyone to get close and found out later that he had hurt them....he wouldn't have been able to live with himself. It was that feeling, that fear and paranoia that made him stay single and fly solo.
There were people in his life that tried hard to make him embrace what he had become, Tony wouldn't have left him be even if Bruce demanded it of him but that was because the inventor was stubborn like a toddler. But Tony understood. Tony could protect himself and everything else and...
"Yeah, I'm okay with that. But you don't have to be. I have a cage if I get lose, Liv. I have VERONICA waiting for me if something happens. I'm a monster. You aren't a monster, you don't deserve a life like mine, and the tabs can help you live. You can't destroy an entire City because you didn't get your way. Not like me. It's different. The Other Guy doesn't feel. He doesn't care. He would probably kill you without thinking about it because you were in his way. And I wouldn't be able to live with myself if something did happen to you, or anyone."
The underlying feeling beneath the fear was the guilt. It was what had driven him to the edge in the year before New York, when he had tried to eat a bullet. He had wanted so badly for that to work. And now here he was, siting in a diner with a girl he had never dreamed of meeting on any plane of reality.