"Attack! >D Wait, no, I didn't mean-ugh you are an incredibly immature dog. When I say attack you attack not lick!"

On that...Ty's motivations were basically, "Okay, I've got to take a breather" and the current situation at the time that conversation took place made her say that in a harsher way than was needed and Azula...did her Azula thing and it just kind of went awry from there. Ty Lee probably miss her but that's kinda expected...