John Gill Commentary Leviticus 22:12

"And if a priest`s daughter be married unto a stranger, she shall not eat of the heave-offering of the holy things." — Leviticus 22:12 (ASV)

If the priest's daughter also be [married] to a stranger
Not to an Heathen, but to any Israelite, that is, a common man, or a layman, as the Targums of Onkelos and Jonathan, one that is not a priest; but is married either to a Levite, or an Israelite, as Jarchi:
she may not eat of an offering of the holy things ;
the heave shoulder or wave breast being removed into another family by marriage, she is not reckoned of her father's family, and so had no more a right to eat of the holy things.