He's seen you nail Killer Croc with a batarang right between the eyes, land a fist to both sides of Harvey Dent's face, he's seen Bruce have to practically hold you back from sprinting after the Joker when you were convinced you could beat him. He's seen you fight borderline delirious after being blasted in the face with Crane's fear toxin. And yet- "Haley? Really? You're scared of Haley?"
At first he thought you were joking when you'd scrambled backwards, quickly bracing yourself in the door frame as Haley bounded over to try and greet Dick's guest. A few moments longer and he seemed to finally get that it wasn't an odd joke.
"Crud, sorry littlewing. I didn't know." Was what he'd blurted out as he swiftly scooped Haley up into his arms, kissing her on the head as he glanced up at you. Dogs? Maybe it was pitbulls specifically? But even then, Haley wasn't exactly a threatening dog as she hobbled around on her three legs, tail wagging and tongue licking just about anything near.
He's even seen you around some of Damian's animals before. Bright eyed and grinning as you brush your hands along Alfred the cat's back. He's even seen you give the occasional pat on the head to the cow that Damian's oddly attached to.
And still, he's holding Haley as she wriggles in his arms, trying desperately to get out of his grasp and go greet his guest in a way she saw proper. She barked softly, and he shushed her gently. Gingerly wrapping his index and thumb on either side of her maw.
"I don't really have a puppy gate. I can-" He trailed off, looking over his shoulder at the viable room in his apartment. It'd feel cruel to lock her in him and Bab's bedroom, but the terrified look on your face made him feel guilty somehow. "If I just- Would you be alright if I held her while we talked?"