THEOSISCyrill of Alexandria
He designated the remainder of the offering for them and instructed that it be consumed, but specified that this should occur only "in the holy place," and by males exclusively. (Refer to Leviticus 6:29 and similar passages.) However, oil, grain, wine, the redemption of the firstborn, and burnt offerings are now permitted to be eaten not just by males or in a sacred location, but within the priest's household. These offerings are available for consumption by daughters and all household members. This distinction is crucial: the leftovers from sacrifices are intended solely for the use of the consecrated and should not be treated as ordinary food; they must be consumed in a holy setting.
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As for the other offerings, which are designated as gifts, they are regarded as secondary and may be shared within the entire household of the sacred, provided the individual partaking is clean—that is, not defiled. According to the law, this means the person must not be uncircumcised, a foreigner, a leper, or experiencing seminal emission; and according to the New Testament Scriptures and the Church’s understanding, this entails being neither unholy nor unfaithful, but rather devout and loving toward God. It is fitting for those elevated to spiritual leadership to associate with those of good character, who possess a heart filled with divine love.