In the first branch of the Mabinogi, Arawn demands a favor of Pwyll after Pwyll drives some red-eared dogs away from one of these animals, and in the Ramayana, the rakshasa Maricha appears to Sita as a golden one.
One of these animals can be found on the roof of Valhalla eating bits of Laerad. Gods depicted with the head of this animal include the Chinese wind god Fei Lian and the Celtic forest god Cernunnos. In Greek myth, the giants Otis and Ephialtes kill each other after Artemis takes this form. In the first branch of the Mabinogi, Arawn demands a favor of Pwyll after Pwyll drives some red-eared dogs away from one of these animals, and in the Ramayana, the rakshasa Maricha appears to Sita as a golden one. In Greek myth Heracles hunts one that makes its home on Mount Ceryneia, and a son of Aristaeus is transformed into one of these animals after seeing Artemis bathing. FTP name this animal form assumed by Actaeon for a brief period before his own hunting dogs killed him.
One of these animals can be found on the roof of Valhalla eating bits of Laerad.
{stag} or {hart} or {deer} (I guess {doe} is also acceptable after “Artemis,” although the previous three clues all refer to stags)