So I am looking to buy this move for a friend as a gift but she remembers fragmented parts. So does anyone know this movie:

- there is a little fuzzy (white) thing that is on some kind of adventure, I think it has a horn.
- there may possibly be a girl on this adventure with the creature.
- there is a cave.
- the creature goes to the cave and struggles with not wanting it's horn and it takes it off (somehow).

It may not be the movie you're looking for, but in the last unicorn, the unicorn becomes a girl and loses her horn. At one point there is a woman with her on her adventure