Helm: Queen's Crescent Crown

Armour: Queen's Robe

Gauntlet: Queen's Bracelets

Leggings: Queen's Leggings

Where To Find: 

(Click the link above to view the equipment and watch the getting video.)

Once you've emerged victorious over Rennala, the Queen of the Full Moon, journey to the Roundtable Hold and visit Enia. There, you'll be able to purchase the complete Queen of the Full Moon Set from her.