Keritot 7A

בת כהן שנישאת לישראל, ואכלה בתרומה ⁠– משלמת את הקרן ואינה משלמת את החומש, ומיתתה בשריפה.

With regard to the daughter of a priest who married an Israelite and then unwittingly partook of teruma, she pays the principal, as a thief would, as she partook of teruma to which she owns no rights. But she does not pay the additional 1/5th payment, which is the fine paid by an Israelite who partakes of teruma unwittingly (see Leviticus 22:14). This is because she is not completely disqualified from the priesthood, since if she becomes widowed or divorced without having borne children she will again be permitted to partake of teruma. And if she commits adultery her death penalty is administered by burning, as is the halakha with regard to the daughter of a priest (see Leviticus 21:9).

ניסת לאחד מן הפסולין ⁠– משלמת קרן וחומש, ומיתתה בחנק, דברי רבי מאיר.

By contrast, if she married one of those who are unfit for her to marry due to his lineage, thereby disqualifying herself from the priesthood for the future, she pays the principal and the additional 1/5th payment, and her death is by strangulation, as is the halakha with regard to Israelite women. This is the statement of R' Meir.

וחכמים אומרים: אחת זו ואחת זו משלמת [את] הקרן ואינה משלמת [את] החומש, ומיתתה בשריפה.

And the Rabbis say: In both this case and that case, whether she was married to an Israelite or to one unfit for her to marry, she pays the principal but she does not pay the additional 1/5th payment, and her death is by burning, as she previously had the status of a daughter of the priesthood. This opinion of the Rabbis is presumably that of R' Yehuda, who is usually the disputant of R' Meir. As explained with regard to the anointing of a king, R' Yehuda requires that the individual in question must have the status of a stranger, i.e., not a High Priest or a king, from beginning to end.