Step 1

Bring 5 cups water to a boil in a 12-inch skillet over medium-high. Stir in 2 tablespoons salt. Add potatoes; cook, stirring occasionally, until barely tender, 5 to 7 minutes. Using a slotted spoon, transfer to a plate. Add peas to boiling water; cook, stirring occasionally, until crisp-tender, 2 to 3 minutes. Remove skillet from heat. Drain peas in a colander; rinse under cold water until cool to the touch, about 15 seconds. Set aside.

Step 2

Wipe skillet dry using paper towels. Add butter and oil to skillet; cook over medium-high until butter is melted. Add shallot, chile, garlic, and 1/2 teaspoon salt; cook, stirring often, until mixture is fragrant and softened, 2 to 3 minutes. Add wine; cook, stirring occasionally, until wine is almost completely reduced, about 2 minutes.

Step 3

Add shrimp to skillet in a single layer; sprinkle with black pepper and remaining 1/2 teaspoon salt. Cook, undisturbed, until shrimp are partially opaque, about 2 minutes. Flip shrimp, and immediately add broth and potatoes to skillet. Bring to a simmer over medium-high; simmer, stirring occasionally, until shrimp are almost cooked through, about 1 minute. Add peas and cream; cook, stirring occasionally, until heated through, about 30 seconds. Remove from heat. Season with additional salt and black pepper to taste. Sprinkle with dill, and serve with crusty bread.