If he ends up in the hospital, there's a good chance Samaritan might be able to track him, but it's just as possible his cover will hold. Detectives are injured in the line of duty often enough, it isn't as if he'll stick out from the others, and there may be a bit more paperwork, the Machine might have to work a little harder to keep him out of the spotlight, but she isn't wrong. He needs to see a doctor. The gunshot wound isn't the worst he's had, but the hypothermia could still kill him.

If he isn't dead already. He doesn't know of any city called Darrow and he's spent the better part of his adult life traveling the world.

"Karen, I'm John," he says. "I'm a detective with the NYPD and I..." He pauses, jaw tensing again as another wave of pain washes over him, a fresh round of shivers that threaten to make his teeth chatter, but he holds himself as still as he possibly can until it passes. "The gunshot wound is fine, I won't die from it, but I think I have hypothermia."

Which is as close to giving her permission to call as he can get. He still needs to be careful about what he says, especially here, wherever they are. Over time New York had gotten a little easier to navigate, he'd been able to find ways around the cameras, but Darrow is new to him. He has no idea what the surveillance might be like.