Heat butter in a large nonstick saute pan over medium-high heat. Add onion, garlic, and carrot. Peel potato, and then cut into 1/2-inch dice. Add to pan. Cook until vegetables soften and begin to brown, 6 to 7 minutes.
Reduce heat to medium; add bell peppers and mushrooms, and cook until vegetables are just tender, 8 to 10 minutes.
Add turkey; saute until cooked through. Sprinkle with flour; stir to combine.
Add sherry; scrape any browned bits from pan. Cook until most liquid has evaporated. Add stock, salt, black pepper, chile powder, and paprika; bring to a boil. Reduce to a simmer; cook until liquid thickens and reduces by half. Stir in parsley. Serve hot, topped with egg if using.