THEOSISCyrill of Alexandria
He consequently designated the remainder of the offering for them and instructed them to consume it, but only, He said, “in the holy place,” and limited to males. (Refer to Leviticus 6:29 and corresponding verses.) However, the oil, grain, wine, redemption of the firstborn, and burnt offerings are now permitted to be eaten not just by males or exclusively in a holy place, but within the priest's household, and are even available for daughters and all who are part of the household. This differentiation must be respected: the leftovers of the sacrifices are intended solely for the consecrated and should not be treated as ordinary food; their designated location is a sacred space.
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Yet, regarding the offerings presented as gifts, they hold a secondary status, accessible to the entire household of the holy, provided the individual partaking is ceremonially clean—that is, he should not be uncircumcised, a foreigner, a leper, or someone who has experienced an emission. In alignment with the teachings of the New Testament and the convictions of the Church, this also applies to those who are not unholy or unfaithful, but rather devout and loving toward God. It is most appropriate for those elevated to the divine priesthood to associate with those of virtuous character who possess a heart filled with the love of God.