Combine first 5 ingredients in a bowl. Set aside.
Sprinkle shrimp with red pepper; coat with cooking spray.
Heat a large nonstick skillet over medium- high heat. Add shrimp, and cook 4 minutes, stirring constantly. Remove shrimp from pan, and keep warm.
Heat oil in pan. Add bok choy, onion, and snow peas. Cook 3 minutes, stirring constantly. Add shrimp and reserved soy sauce mixture; cook 1 1/2 minutes or until bubbly, stirring constantly. Serve over rice.