Answer:
The purpose behind the narrator's "unnaming" of the animals is: to align with nature on an equal footing instead of asserting superiority by assigning them names.
Explanation:
In Ursula K. Le Guin's tale "She Unnames Them," the narrator, Eve, is the initial woman created by God in biblical lore. According to Genesis, Adam was the one who named the animals God made to accompany him. In this narrative, however, Eve comes to understand the importance of reclaiming those names. She even returns her own name, aiming to liberate herself and the creatures from the distinctions that separate them. By shedding names, they achieve unity. Their individual identities are no longer distinct:
They felt much closer compared to when their names acted as a clear barrier: so intimately connected that my fear and theirs blended into one. The desire many of us share, to touch or connect with each other's scales or skin or feathers or fur, to experience one another’s life force or warmth -- this yearning fused with the fear, and distinctions between hunter and prey, or between eater and consumed, became indistinguishable.
