Peel the shrimp and add them to a large bowl. Thoroughly dry them with paper towels. Mix in the peppers, salt, and 3 tablespoons of olive oil until combined.
Leave uncovered to marinate at room temperature or in the refrigerator for 15 to 30 minutes. Add 2 tablespoons of olive oil to a large saucepot or skillet over medium heat.
Pour in the marinated shrimp and sauté for only 1 to ½ minutes. It’s ok if all the shrimp are not perfectly pink. Set the shrimp to the side on a plate.
Add the remaining 1 tablespoon of olive oil to the pan over low to medium heat and cook the onions while frequently stirring for 8 to 10 minutes or until browned.
Stir in the garlic and cook just until fragrant, which takes 30 to 45 seconds. Deglaze with the white wine and cook over medium heat until it is au sec or almost gone.