01 -
Place eggs in a large saucepan and cover with cold water by about an inch. Bring the water to a rolling boil over high heat, then immediately remove from heat. Cover the pot and let the eggs sit undisturbed for exactly 12 minutes. Meanwhile, prepare an ice bath. After 12 minutes, transfer eggs to the ice water to stop the cooking process and cool completely.
02 -
Carefully peel the cooled eggs and slice each one in half lengthwise. Gently remove all the yolks and place them in a mixing bowl. Using a fork, mash the yolks until they're completely broken up. Add the mayonnaise, Dijon mustard, hot sauce, 1 teaspoon of Cajun seasoning, and sugar if using. Mix everything together until the filling is smooth and creamy. Cover and refrigerate while you prepare the shrimp.
03 -
Pat the shrimp completely dry and season them generously with 1 tablespoon of Cajun seasoning, making sure each shrimp is well coated. Heat olive oil in a cast iron skillet or heavy-bottomed pan over medium-high heat until shimmering. Add the seasoned shrimp in a single layer, being careful not to overcrowd. Cook for 2 minutes without moving them, then flip and cook for another 2 minutes until they're pink and slightly charred. Remove from heat and transfer to a plate.
04 -
Using a pastry bag fitted with a large star tip (or a zip-top bag with the corner cut off), pipe the chilled yolk mixture generously into each egg white half. Top each deviled egg with one perfectly cooked shrimp, a thin slice of jalapeño, and a sprinkle of fresh chives. Arrange on a serving platter with lemon wedges on the side. Serve immediately for best results, or keep chilled for up to 2 hours before serving.