In a large skillet over medium heat, warm the olive oil. Add the onions and sauté until softened.
Stir in the garlic and paprika, cooking just until fragrant—about 30 seconds.
Add the ground turkey. Cook, stirring often, until no longer pink.
Toss in the mushrooms and cook until they release their moisture and brown slightly.
Sprinkle the flour over the mixture and stir to coat.
Gradually add the broth while stirring. Let it simmer until slightly thickened.
Lower the heat and stir in the Greek yogurt and mustard. Cook gently—don’t boil—until the sauce is creamy.
Season with salt and pepper.
Fold in the noodles and broccoli (if using), stir to coat everything in that velvety sauce.
Serve warm, topped with parsley.