Add sourdough starter, eggs and cheddar cheese to a medium size mixing bowl and whisk together until well combined. Season with salt and pepper to your liking. The mixture should be light and fluffy.
Heat a frying pan or cast iron skillet over a medium heat and add the butter. Allow the butter to melt and then pour the sourdough egg mixture into the pan.
Allow the sourdough scrambled egg mixture to cook gently for around 5 minutes, turning the mixture occasionally with a spatula.
The sourdough scrambled egg mixture is done when all the liquid has cooked out and the eggs are light and fluffy.
Serve sourdough scrambled eggs alongside some sourdough toast or sourdough discard pancakes.