So, the exageration of female importance has run throughout the franchise.
I knew that. The elf’s name was Garfunkel.
Oh wait...that’s in “Bored of the Rings”
And Tolkien’s message regarding the character Eowyn was that women don’t have to fill the exact same role as men in order to be noble and honorable. In fact, her feminist ideas were planted in her mind by Wormtounge. Wormtounge also convinced Theoden that Saruman was his ally and those who wanted war with him were warmongers. Wormtounge is a classic 5th column liberal: Promoting the feminist agenda and pacifying and demonizing manliness in order to bring down the culture.