@arcus: Just checked that your correct she only fought them by herself once.
The fight with Katara in the season two finale was honestly a strange one. Azula literally only attacked Katara once the entire fight.
Not sure why I'm arguing about this though since Azula and Katara are teamed up.
As for most naturally talented I mean exactly what I say. She was easily the most gifted bender in the series. Lack if expirience was really the only thing keeping her below most of the masters in the show.
Anyway I stand firm on her potentially soloing. Do you have a backing argument to the contrary?