you could block her off from the coop! you could put her in a broody breaker and that might cure her!
dont just kill them for no reason! how would you like if a chicken killed you beacsue you ate chcikens?
It depends on your husbandry approach. My chickens are not pets, they're livestock. I raise them for food and income, just as I do my cattle and goats. Every animal has a purpose, when that purpose is no longer being met, they serve a purpose in death. And the best part is, I know exactly what they were fed and how they were raised their whole lives!