Preheat oven to 425 degrees F. Heat 1 Tbsp of oil oil in a large skillet over medium-high heat. Season shrimp with salt and pepper, and add to the skillet. Sauté for one minute, on both sides. Remove and place the shrimp on a separate plate.
Add an additional 2 Tbsp of oil to skillet. Add onions and garlic and sauté for 5 minutes. Add wine, and deglaze pan for one minute. Add tomatoes, crushed red pepper, and oregano. Reduce heat to medium-low, simmer for 10-15 minutes, stirring occasionally. Remove from heat and set aside.
Brush the top of the pizza crust with 1 Tbsp of olive oil.
Sprinkle about half of the mozzarella cheese evenly on pizza crust, leaving a 1-inch border.
Evenly spread the tomato mixture on top of the cheese. Add the shrimp in an even layer, and then cover with the remaining mozzarella. Bake for about 10-12 minutes.
Remove and garnish with chopped fresh basil and Parmesan cheese.