Chef John'S New Orleans-Style Barbequed Shrimp - cooking recipe

Ingredients

1 1/2 pounds colossal shrimp, EZ-peel type (deveined and shells split down the back)
1 1/2 tablespoons vegetable oil
1 tablespoon freshly ground black pepper, or to taste
1/4 teaspoon smoked paprika
1/8 teaspoon cayenne pepper
1/8 teaspoon seafood seasoning (such as Old Bay(R)) (optional)
1 tablespoon butter
2 cups chicken stock
lemon, juiced
2 tablespoons Worcestershire sauce, or more to taste
2 dashes hot sauce, or to taste
3 tablespoons cold butter, cut into chunks
6 cloves garlic, minced
1 tablespoon minced fresh rosemary
1 sprig fresh rosemary for garnish

Preparation

Peel shrimp and place into a mixing bowl; set shrimp shells aside in a saucepan.
Drizzle vegetable oil over shrimp and season with black pepper, smoked paprika, cayenne pepper, and seafood seasoning. Mix shrimp to coat with spices and cover bowl with plastic wrap; refrigerate shrimp to absorb flavors, at least 1 hour.
Place reserved shrimp shells in saucepan over medium-high heat with 1 tablespoon butter; cook and stir until shells are pink and fragrant, 1 to 2 minutes. Pour in chicken stock, bring to a boil, and reduce heat to low; simmer until shrimp shells have given off their flavor, 20 to 30 minutes.
Strain shrimp stock through a fine mesh strainer into a bowl and add lemon juice, Worcestershire sauce, and hot sauce. Stir to combine.
Place a large skillet over high heat until pan is very hot; sear shrimp in the very hot, dry pan until shrimp are browned, about 1 minute per side.
Stir 3 tablespoons cold butter, garlic, and minced rosemary into shrimp; cook and stir until shrimp are opaque in the middle and garlic is fragrant, 1 minute. Pour in shrimp stock.
Transfer shrimp from skillet to a bowl, using a slotted spoon; reserve sauce in skillet. Bring sauce to a boil and cook until reduced slightly, about 5 minutes. Adjust seasoning to taste. Return shrimp to pan, reduce heat to low, and warm through, about 1 minute. Serve shrimp drizzled with pan sauce; garnish with a rosemary sprig.