[The Squatter of Amon Rûdh]

I'm surprised that nobody has seen fit to mention one of Galadriel's names from Unfinished Tales: 'Man Maiden'. Tolkien specifically says that back in the Blessed Realm she would compete with male Elves in athletic contests, so it's perfectly reasonable to assume that she could and did fight when the need arose. Of course I think that her throwing down of the walls of Dol Guldor was more akin to Lúthien's destruction of Sauron's fortress during her rescue of Beren. In fact it could be that Galadriel destroyed the ancient stronghold of evil using the power of song. Not even Disaster Area managed that trick!