Does the Jersey Devil Have Rights?

I find myself a studier of monsters on the weekend and one that captivates me still is the Jesery Devil, a horrible beast known for its brutality and evil nature. But if it is some kind of animal and not just beast, does it demand respect? Should we treat it like a bear or moose and just give it space? Or should we do our best to destroy it since it could be a threat to us? Who are we to decide that monsters have no rights? And since we are all supposed to be one with nature, isn’t there then a little Jersey Devil in all of us?