Bring 1 inch of water to a boil in a large saucepan. Dropped in chopped broccoli and cook just until soft and bright green. Drain, place broccoli in a small bowl and stir in the cheese.
Blend egg, egg whites, hot sauce, salt and pepper briskly with a fork in a medium bowl.
Heat oil in a 7-10 inch nonstick skillet over medium high heat until hot.
Tilt the skillet to swirl oil over the surface. Pour in the egg mixture and wait 2-3 minutes, then sprinkle broccoli cheese mixture over the omelet. Continue to cook until almost set and the bottom is golden. This should take about 1 minute.