The White Peafowl (not a “white peacock”) is actually a genetic variant of the India Blue Peafowl, which is a member of the Pheasant family.
White Peafowl have blue eyes (whereas “albino” animals have pink eyes. If you read my post about the White Raven of Qualicum Beach, you may have noticed that the White Raven also has blue eyes, and is therefore not an “albino.”)
The White Peafowl and Black-Shouldered Peafowl are mutations of the India Blue Peafowl. Both mutations are pure white, both sexes.