Our current Red-tail neighbor has no apparent interest in poultry. That particular Cooper's Hawk is also unlikely to be interested in poultry, based on her lack of exposure to poultry over the last two winters. (We just got chickens this spring, and only a handful of people in our neighborhood keep poultry.)
Basically you can't know for sure whether an individual bird of prey is going to go after your poultry until it does, but birds are creatures of habit. A bird of prey of either sex that survives to maturity without learning to kill poultry is unlikely to develop an interest in poultry unless its preferred natural prey is in short supply. If a hawk doesn't show any interest in your poultry despite lots of temptation, cultivate that relationship, because a bird like that will discourage other potential problem hawks from settling in your neighborhood. It certainly doesn't hurt to cultivate that preferred prey base, too. As I said, there's plenty of natural prey around our yard because we put out food and water for the wild birds (the squirrels, mice, and packrats benefit, too, and they're excellent hawk and owl food).