Tafsiran Imamat 6:16: Tze'enah Ure'enah, Rashi, Tur HaArokh & Rabbeinu Bahya

“Every meal offering of a priest” [6:16]. Our sages learn from here that only a man can be a priest, but not a woman, born of priests. As our sages say, “sons of Aaron,” but not daughters of Aaron. There is a great distinction between the men and women of the priests. Since women brought death into the world, therefore, the wives of the priests should not eat several sacrifices, but the men may eat them. Similarly, a male priest cannot marry a divorcee, but a woman of the priests may marry a man who has been divorced.⁴Bahya, Leviticus, 6:16.

כליל (connected with כל, all) means, all of it belongs alike to the Most High God (i. e. no part of it is given to the priests).

וכל מנחת כהן כליל תהיה, “and every meal offering offered by a priest must be complete, (not just the three fingers full) none of it may be consumed by the priests. Maimonides (Moreh Nevuchim, 3,46) explains that the reason for the above is simple, i.e. that the priest cannot consume his own offering. Were he allowed to partake of it, the impression would be created that he had in fact not brought an offering to G’d at all. After all, the altar receives only three fingers full of any meal offering, pus a small amount of frankincense. By legislating that the entire meal/oil mixture is to be burned, the priest will be seen to have brought an offering of his own. The treatment by the Torah of the meal offering differently from the sin offering, for instance, is that in the case of the latter, substantial parts of the sacrificial animal are burned up on the altar in addition to the parts that the priests may consume.