The defects which make an animal unfit for sacrifice
Through sacrifice, the worshipper seeks nearness with Allah Most High and as such, the animal selected for sacrifice should be plump, perfect and should not be blind, lame or ill in any way.
An animal which is blind, in one eye or both, lame, so weak that it cannot even walk towards the sacrificial place, an animal whose ears, tail or rear are more than 1/3rd cut off, a toothless animal, an animal whose horns are broken off right from the base. The animals which don’t have any horns naturally are excluded.
In Musnad Imam Ahmed, there is a Hadith:
It is narrated on the authority of Hadhrat Bara'a bin A’azib (May Allah be well pleased with him) that the Holy Prophet (Sallallahu alaihi wa sallam) was asked: Which animals should not be sacrificed? The Holy Prophet (Sallallahu alaihi wa sallam) said and gestured: Four. Hadhrat Bara'a bin A’azib (May Allah be well pleased with him) says: My hand is smaller and lower than the hand of the Holy Prophet (Sallallahu alaihi wa sallam) (i.e. out of respect for the Holy Prophet, Hadhrat Bara'a did not even raise his hand like Him):
(Musnad Imam Ahmad Bin Hambal, Hadith No. 19185; Sunan
Kubra Lil Baihaqui, Hadith No. 19567)