Final answer:
In Robert Graves' theory of the triple goddess, the archetype that does not appear is D. Warrior. The theory includes the Maiden, Mother, and Crone, representing different stages of womanhood.
Step-by-step explanation:
In Robert Graves' theory of the triple goddess, he outlines three primary female archetypes which are part of his mythopoeic depiction of certain poetic themes principally in his work The White Goddess: A Historical Grammar of Poetic Myth. The types included in this theory are A. Maiden, B. Mother, and C. Crone. These archetypes represent different stages in the life cycle of womanhood. Therefore, the type that does NOT appear in Robert Graves' theory of the triple goddess is D. Warrior. It's worth noting that the reference to the Warrior Vase in the context of this question doesn't have a direct connection to Robert Graves' theory as his triple goddess concept doesn't include a warrior archetype.