Bring broth to a boil in medium saucepan. Add broccoli and onion; cook 5 minutes or until broccoli is tender.
Meanwhile, brown ground beef in small skillet 6 to 8 minutes over medium-high heat, stirring to break up meat. Drain fat. Gradually add milk to flour in small bowl, mixing until well blended. Add milk mixture and ground beef to broth mixture; cook, stirring constantly, until mixture is thickened and bubbly.
Add cheese and oregano; stir until cheese is melted. Season to taste with salt, black pepper and hot pepper sauce.