UPDATE: I am (was) hopelessly ignorant of the actual process of chicken egg-laying, as my friend Riin kindly points out below. As this site explains:
An egg is a single cell. Just like in a human, that egg cell must be fertilized by a sperm cell in order to grow into a baby. If there's no sperm present, which there is not in an egg-laying operation, the eggs laid are unfertilized. They are not unfertilized *babies,* they are unfertilized *cells.* This is similiar to when a girl or a woman has her period; the egg she released that month didn't get fertilized, there is no potential baby and the egg is flushed out of her system.
So I guess we can change the question to: are you okay with eating chicken periods?