Cook rice according to package instructions using water or broth. Fluff and set aside.
Season shrimp with salt and black pepper.
Melt 2 tbsp butter in a large skillet over medium heat. Add shrimp and cook 1–2 minutes per side until pink and opaque. Remove and set aside.
In the same skillet, melt remaining butter. Add garlic and sauté until fragrant, about 30 seconds.
Pour in chicken broth and heavy cream. Stir and let simmer gently for 3–4 minutes until slightly thickened.
Season sauce with paprika, red pepper flakes, salt, and pepper.
Return shrimp to the skillet and spoon sauce over them. Cook briefly to warm through.
Serve shrimp and sauce over warm rice.