Eowyn is my favorite female character. Yes, she is a princess and very beautiful, but it is not what makes her Eowyn. She wants to be useful and help out during the battles, but everyone prevents her. That is why I love when she dresses up as a man and takes Merry with her to join the fight in the Return of the King.
Realizing his lack of female characters, Tolkien originally created Eowyn to be Aragorn's love interest. (And, in the books, Arwen does not battle or outride wraiths. Eowyn was always the only female warrior in LOTR.) <True