Cyrill of Alexandria
He consequently designated the remaining portions of the offering for them and instructed that they partake of it, but only, as He declared, “in the holy place,” and specifically for every male. (Refer to Leviticus 6:29 and similar verses.) However, the oil, grain, and wine, along with the redemption of the firstborn and the burnt offerings, are no longer restricted solely to males or to consumption in the holy place; rather, they are now permitted to be consumed in the priest’s residence and may be shared even with daughters and all who are close and domestic. This distinction must be upheld: for the leftovers of the sacrifices are intended solely for the consecrated and must not be treated as ordinary sustenance; their rightful context is indeed within a sacred place.
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Conversely, the remainder offered as a gift holds a secondary position and belongs to all within the household of the sacred, provided that the partaker is clean, meaning he must not be defiled: according to the law, he should not be uncircumcised, a foreigner, a leper, or unclean due to bodily emissions; and in accordance with the teachings of the New Testament and the faith of the Church, he should not be unholy or unfaithful, but rather devout and loving towards God. It is most appropriate for those elevated to the divine priesthood to associate with those of good character, possessing a soul filled with the love of God.