Having no idea what Ian just said, Zuko shrugs. "The door went away for me, too," he says. "I hope-- to go home eventually." HE HAS A MISSION TO COMPLETE. And, also, he wants to go home.

But, that idea is shot.

"And you probably can't restrict her, can you?" KEep her to a single room, a private place...

And since he won't mate with her himself... well...

"Guess you're out of luck."