Brown beef over medium heat in high-sided skillet until pink color is gone. Add chile, onion, garlic, Worcestershire sauce, salt and white pepper; stir to combine. Pour water slowly into skillet while continuing to stir. Break up any lumps of chile. Continue stirring sauce and when it is warmed through, add cornstarch.
Bring mixture to boil; reduce heat to simmer. Cook about 10 minutes, stirring occasionally. Completed sauce should coat a spoon thickly and not taste of raw cornstarch. If it becomes too thick, add more water.
Serve sauce warm with enchiladas, burritos or other dishes. Sauce is good for 3 to 4 days in the refrigerator and freezes well. When reheating, add a little extra water if needed.
Variation: To make vegetarian, omit beef, reduce salt to 1/2 teaspoon, use vegetarian broth instead of water and omit Worcestershire.