Princess (Conan)
This princess was the daughter of King Osric. She ran away from her father's palace to join the Cult of Set where she became Thulsa Doom's lover. By the time Conan, Subotai and Valeria came to rescue her she was thoroughly indoctrinated by Doom. In a daring raid on Doom's Mountain of Power, the trio absconded with the princess.
Doom's army followed and rather than rescue the princess, Doom attempted to kill her using a poisonous snake he turned into an arrow (as he had with Valeria), but she was saved by Subotai. Realizing Doom had betrayed her, the vengeful princess showed Conan a secret way into the Mountain so he could confront Doom, and thereafter returned to her father.
Comments
According to the screenplay and novelization, the princess' name is Yasimina.