1. Flatten chicken breast halves between 2 sheets of plastic wrap.
2. Top each chicken breast with 1 whole green chile and 1 slice of cheese.
3. Roll up and secure with toothpicks.
4. Whisk together the egg and water in a shallow bowl.
5. Dip chicken in egg mixture; dredge in tortilla chips and place in a 13 x 9 baking dish.
6. Bake at 375ºF.
7. for 35 minutes.
8. Let set for 5 minutes before serving.
9. Serve with salsa and garnish with lime wedges.