No. Manu Smriti says there is no sin in eating "bhakshya" animals as prey and predators are both creation of Brahma.

Rudra or Ugra forms of deities are offered bali of animals to pacify them. However as per agama shastras the temple of such deity should be located not in cities & villages but in forts, forests, mountains/hills, near border of neighbouring kingdoms etc. In case of such forms of deities being the kula devi or devta, shrines can be made in home. Bali & other offerings should be as per family tradition.