Brown ground beef with green pepper and onion until no longer pink, drain and rinse.
Return to skillet, add Worcestershire sauce salt and pepper.
Add tomato and cook one minute.
Crack two eggs into a small bowl and beat with 2 Tbsp water, season with salt and pepper.
Put a small nonstick skillet over medium-high heat.
Add ½ tsp oil to pan, add eggs and immediately pull edges toward center of pan with a spatula and allow uncooked eggs to run immediately underneath; continue until larger pieces of egg have set, then let cook until bottom is set.
Shake pan to loosen eggs from bottom and sides of skillet.
Fill half of egg disk with ½ cup beef mixture, fold over and top with cheese.
Serve immediately.