Add chopped bell peppers, sliced onion, garlic powder, smoked paprika, salt, and pepper; cook until vegetables are soft, about 5 minutes.
Add turkey sausage to the skillet and cook until browned, about 5-7 minutes.
Create four wells in the hash, crack an egg into each, and scramble eggs in the skillet until cooked through, about 3-4 minutes. Sprinkle shredded cheddar cheese on top and let melt.
Notes
For extra flavor, add fresh herbs or hot sauce before serving.