Heat oil in a large skillet over medium heat. Add ground turkey and cook, breaking it up, until browned (about 5 minutes). Drain excess liquid if needed.
Add diced bell peppers & onion. Sauté for 3-4 minutes until softened.
Stir in drained diced tomatoes, tomato paste, Worcestershire sauce, Italian seasoning, salt, and pepper. Simmer for 5 minutes.
Add the cooked quinoa and broth and stir well. Let it heat through for another 2-3 minutes.
Sprinkle shredded cheese on top and broil for 4 minutes.