If a priest's daughter marries a layman [any man who is not a priest], she shall not eat of the contribution of the holy things.
Leviticus 22:12

A priest's daughter doesn't need to marry another priest or even a Levite, but if she marries a non-priest, she can no longer share in the offerings that belong to the priest's family. This is because a woman joins her husband's people when she marries. She is no longer part of her father's household, clan, or tribe. God's blueprint for families is thoroughly patriarchal, and this is not a result of the Fall.

A childless widow or divorced woman in ancient Israel was expected to return to her father's house, but that wasn't a command. By implication, if she had children, she was expected to remain with her husband's people. (See v23.)