What term is specifically used to refer to a female peregrine or any longwing?

The term used to refer specifically to a female peregrine falcon or any longwing is "falcon." In falconry and ornithology, the word "falcon" indicates not just any hawk or bird of prey, but specifically pertains to certain species within the family Falconidae, which includes peregrine falcons. Furthermore, female falcons are generally larger than their male counterparts, a characteristic known as sexual dimorphism, which is common among birds.

The other terms mentioned, such as eagle and hawk, refer to different types of raptors and are not used to describe female falcons specifically. Eagles are part of the family Accipitridae and are known for their size and power, while hawks encompass a broader category of birds, including both Accipiters and Buteos. The term Accipiter refers to a genus of birds that includes many species of hawks, but it does not specifically denote a female falcon either. Thus, "falcon" is the correct and precise term for categorizing a female peregrine or longwing.