The Doctor does start to the door, holding his other up as he stumbles blindly along. It's not a great distance to the door, but it will be something of a hike through the hallways of his TARDIS to the console room and then back through the hallways of his other's TARDIS to her sick bay—the only fully-operating, non-contaminated medical facility in either of their TARDIS.
Once they're through, out into the hallway, and the door's safely sealed behind them, the Doctor drapes one of his other's arms over his shoulder and hefts, so that's he's supporting as much of his other's weight as he can.
"I'm going to get you to your TARDIS and your sick bay. I could go find a stretcher, I'm sure I've got something like that somewhere, but that'll take time, and we need to stabilize you as quickly as we can. So we're going to walk. I'll help as much as I can, it won't take long. You'll be fine. I promise."
"Don't talk."
And if the other Doctor can manage it, the Doctor will do exactly as he says, helping him through the TARDIS (both of them) to his other's sick bay.
no subject
Once they're through, out into the hallway, and the door's safely sealed behind them, the Doctor drapes one of his other's arms over his shoulder and hefts, so that's he's supporting as much of his other's weight as he can.
"I'm going to get you to your TARDIS and your sick bay. I could go find a stretcher, I'm sure I've got something like that somewhere, but that'll take time, and we need to stabilize you as quickly as we can. So we're going to walk. I'll help as much as I can, it won't take long. You'll be fine. I promise."
"Don't talk."
And if the other Doctor can manage it, the Doctor will do exactly as he says, helping him through the TARDIS (both of them) to his other's sick bay.