Anima
Anima is a term from Jungian psychology referring to a male's collective unconscious which represents the feminine aspect. Incarnations of this include the males own mother. An example of this is seen in Final Fantasy X where an Aeon (summoned creature) called Anima which represents the spirits of Seymour's mother whom had become a Fayth. If the creature is representing females male side is called Animus.