Oh oh, I hope we have pointed you in the wrong direction, gender cues and subliminal messages written in the sand, (or noses

) are two different things. For example, you know how the evil uncle waves his wrist rather limply, some might say this suggests homosexuality, and given the fact that the uncle is evil, the movie might be giving a message that homosexuals are evil. The gender cues are what messages the movie is giving us, about how an appropriate male or female should act. A good boy acts this way, and a good girl acts that way. I'm surprised your teacher interpreted the fight scene that way, some may interpret it that Simba felt bad because the girl beat him, sending the message, that if a girl can beat you, you're less of a man.
I think your teacher is really looking more for the obvious than you realize, these are not obvious to children watching the movie, and that's why she may call them subliminal. When you are watching the movie you don't realize that it's saying something about gender roles, and reinforcing certain ideas about males and females.
I've got to say, I believe Disney movies have come a long way in making the female role of stories stronger. Girls can fight back now, and have a say in what happens to them, unlike old fairy tales where we were in a coma, just waiting for our prince to come.