Cyrill of Alexandria
He thus designated the remainder of the sacrifice for them, instructing them to consume it only in the sacred space and exclusively by males. (Refer to Leviticus 6:29 and corresponding texts.) However, the oil, grain, wine, the redemption of the firstborn, and the offerings are now prescribed to be consumed not solely by males or in the holy place, but rather in the priest's residence. They are available for all, including daughters and those who are part of the household. This distinction is important: the leftovers from the offerings are intended solely for the consecrated and must not be regarded as ordinary food; they are designated for sacred places.
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Conversely, the remaining offerings, considered gifts, fall into a secondary category and may be shared with the entire household of the holy, provided that the individual partaking is pure, meaning not defiled: according to the law, they should not be uncircumcised, a stranger, a leper, or in a state of emission; according to the New Testament and the Church’s beliefs, they should not be unholy or unfaithful, but rather devout and God-fearing. It is most appropriate for those elevated to divine service to associate with individuals of good character and a soul filled with divine love.