When something or somebody is injected into space, they always freeze in seconds. The logic is that "space is cold" but space is mostly a vacuum and vacuums don't have temperature. Vacuums insulate against conduction, so you're not going to freeze anytime soon. (You'll lose heat via radiation but that will take a while).
Not to mention the effect that zero pressure has on freezing/boiling points. If anything you'd be steaming as all the water on you evaporates!