It was too much to ask for Azula to not be creepy and Zuko not to get angry, wasn't it?

Yep. Too much.

Aang ducked in between Zuko and Azula, waving his hand to get Zuko's attention away from the source of his ire. "Zuko, maybe we should sit down. They're going to call Peacekeepers if they think you're going to attack her."

He was very on edge. He didn't like this at all. There was absolutely nothing good about this situation. But what could they do besides sit and see if they could find something out?