During the First Age Galadriel was a leader (of armies) during the Noldor rebellion and the Wars of Beleriand. Tolkien described her as “the only female to stand tall in those days.”
First Age, you said it yourself. Not Second.
FDR, Churchill, Lincoln were leaders but I didn’t see them hefting Thompson’s and Springfields around.
And the Iron Lady herself, Margarette Thatcher never put on combat boots but the lead her nation in th cold war and the Falklands.