What is a female drake?
I think it is a duck.
A drake is a male duck. Therefore, there is no such thing as a female drake. A female duck can be called either a duck or a hen; either is correct.
A male duck is called a drake. A female duck is not called a drake (duck or hen) Drakes (male ducks) of most breeds have a 'drake feather' on top of their tale, a feather that looks like it has been curled with curling tongs... The markings of drakes are different than those of the ducks in most breeds.
The English language does not use gender noun or gender verbs; all nouns are neutral and take neutral verbs. English designate male and female by using different words: A male deer is a buck, a female deer is a doe. The male dog is called a dog, the female dog is a bitch. The male duck is a drake, the female duck is called a duck or a hen.