For a raw egg the torque is transmitted slowly to the liquid inside. And since you usually spin an egg just once around, there is not much angular momentum that can be imparted to the egg so quickly. If you do keep on rotating it, after a few turns the yolk will pick up speed and the egg will go ahead and spin like a cooked egg.
Conversely, a standard method of determining whether an egg is cooked or not is to get it spinning and then suddenly bring it to a halt. Then release it. For an uncooked egg the yolk will not immediately stop, it will keep on going inside even after the shell is stopped. Then when you release the egg the spinning motion will resume.