Preheat oven to 350°.
Heat oil in a large nonstick skillet over medium-high heat. Add the oregano and the next 4 ingredients (oregano through garlic); sauté for 3 minutes. Spoon the shrimp mixture into an 11 x 7-inch baking dish coated with cooking spray.
Add wine to skillet; cook over low heat until reduced to 1/4 cup (about 3 minutes). Stir in tomato, and pour over the shrimp mixture. Sprinkle with cheese, and bake at 350° for 10 minutes. Serve mixture over pasta, and sprinkle with parsley.