Add cream, chicken, peas, and smoked paprika. Bring to a simmer, stirring often, and cook until sauce has thickened, 2 to 3 minutes. Spoon into large skillet.
Roll out crust about 1 inch larger than the skillet. Place crust on top of mixture, and press into the sides of pan. Brush the crust with the egg wash and cut vents in the top of the crust.