Hello!
I have to say I really like your character Dr. Hua. A character after my own heart =^^=.
The characters sound mostly in character, and the developing relationship between Zuko and Katara is interesting. I like how you described how Zuko felt when he was dancing with Katara.
That just... It fits.
I guess that's it. Didn't really see anything wrong with the story, but I like it a lot.