Does a turkey hen need to stay with the tom after fertilizing eggs oncet?

No, a turkey hen does not need to stay with the tom after fertilizing eggs once. A single mating is usually sufficient to fertilize all of the eggs that a hen will lay during a breeding season. After mating, the tom's role in reproduction is complete, and he can be removed from the flock if desired. The hen will continue to lay eggs without the presence of a tom, and the eggs will still be fertile.