In a small bowl combine cornstarch, salt, pepper, and cayenne.
In a separate bowl, whisk the egg whites until foamy. In another bowl, place the coconut. Coat the shrimp with the cornstarch and shake off any excess. Dip into the egg white and then press into the coconut to get full coverage. Try to keep 1 hand dry, this will keep things a little cleaner.
In a large pan or fryer, heat the oil to 350 degrees F and gently submerge the shrimp, 6 at a time. Fry for about 3 minutes or until golden brown. Remove them to a rack to drain. And enjoy!