A physical deformity
Debarred sons of Aaron from exercise of priestly offices
Speak unto Aaron, saying, Whosoever he be of thy seed in their generations that hath any blemish, let him not approach to offer the bread of his God. For whatsoever man he be that hath a blemish, he shall not approach: a blind man, or a lame, or he that hath a flat nose, or any thing superfluous, Or a man that is brokenfooted, or brokenhanded, Or crookbackt, or a dwarf, or that hath a blemish in his eye, or be scurvy, or scabbed, or hath his stones broken; No man that hath a blemish of the seed of Aaron the priest shall come nigh to offer the offerings of the Lord made by fire: he hath a blemish; he shall not come nigh to offer the bread of his God. He shall eat the bread of his God, both of the most holy, and of the holy. Only he shall not go in unto the vail, nor come nigh unto the altar, because he hath a blemish; that he profane not my sanctuaries: for I the Lord do sanctify them. (Leviticus 21:17-23)
Animals with, forbidden to be used for sacrifice
Ye shall offer at your own will a male without blemish, of the beeves, of the sheep, or of the goats. But whatsoever hath a blemish, that shall ye not offer: for it shall not be acceptable for you. And whosoever offereth a sacrifice of peace offerings unto the Lord to accomplish his vow, or a freewill offering in beeves or sheep, it shall be perfect to be accepted; there shall be no blemish therein. Blind, or broken, or maimed, or having a wen, or scurvy, or scabbed, ye shall not offer these unto the Lord, nor make an offering by fire of them upon the altar unto the Lord. Either a bullock or a lamb that hath any thing superfluous or lacking in his parts, that mayest thou offer for a freewill offering; but for a vow it shall not be accepted. Ye shall not offer unto the Lord that which is bruised, or crushed, or broken, or cut; neither shall ye make any offering thereof in your land. Neither from a stranger's hand shall ye offer the bread of your God of any of these; because their corruption is in them, and blemishes be in them: they shall not be accepted for you. (Leviticus 22:19-25)
FIGURATIVE
That he might present it to himself a glorious church, not having spot, or wrinkle, or any such thing; but that it should be holy and without blemish. (Ephesians 5:27)
But with the precious blood of Christ, as of a lamb without blemish and without spot: (1 Peter 1:19)