Sacrifice not required

From the Tanakh (Hebrew scriptures):

[22] Yea, though ye offer me burnt-offerings and your meal-offerings, I will not accept them; neither will I regard the peace-offerings of your fat beasts. [23] Take thou away from Me the noise of thy songs; and let Me not hear the melody of thy psalteries. [24] But let justice well up as waters, and righteousness as a mighty stream. ~ Amos 5:24

From the Wiccan tradition:

I am the Gracious Goddess, who gives the gift of joy unto the heart. Upon earth, I give the knowledge of the spirit eternal; and beyond death, I give peace, and freedom, and reunion with those who have gone before. Nor do I demand sacrifice, for behold I am the Mother of All Living, and my love is poured out upon the earth.
~ The Charge of the Goddess, Doreen Valiente

From the Hindu tradition:

Offer to Goddess Durga the animal, the Pashu, of your inner evil trait of passion, of anger, of greed. Do not kill animals of the external world in the name of Balidana to the Goddess.

She wants your animal-man within. No Himsa should be committed on the excuse that it is for the Devi. You have no right or justification to hurt any living creature for whatever reason.

Ahimsa should be free from all exemptions whether pertaining to class, place, time or circumstances. Ahimsa is a universal vow to be practiced absolutely. No worship, no prayer, no act whatsoever in life can justify injury or harm done to living beings.
~ Swami Sivananda

The Buddha was also against animal sacrifice.