Arguably one of the most frustrating things about the Lord of the Rings trilogy is the lack of amazing fight scenes for the female characters. The audience is told many times that Galadriel is a very powerful elven leader, but this is never shown in the original trilogy, and only features years later in The Hobbit movies. Arwen too, being one of three children of Elrond (with the other two being her brothers that fight alongside Aragorn in the War of the Ring) would have some tactical training in wielding weapons and in self defense, which the audience gets a small glimpse of when she protects Frodo from the Black Riders trying to cross the river.