This battle is to save a downed ally, and that ally is you. So it would defeat the purpose if I went off to battle with someone else, wouldn't it?

[She's running with his silly metaphor instead of telling him to get lost, so he decides to put his neck on the line and opens the stable door, shrugging off his heavy cloak as he does so.]

Here, you can have this. [And assuming she doesn't get up to stomp him to death, he'll drape the cloak around her shoulders and along her equine flank. It might not be jinba-sized, but it's something.]