Fry bacon pieces until crispy in a medium skillet over medium heat.
Remove cooked bacon. Drain excess bacon grease and wipe the skillet with a paper towel.
Whisk eggs with salt and pepper and pour into the same skillet, allowing them to set over medium to medium-low heat.
⅛ teaspoon salt and pepper to taste, 2 large eggs
When mostly set, add shredded cheddar cheese and the cooked bacon to one half. Carefully fold the omelette in half and, if necessary, flip to cook the other side.
1 cup shredded cheddar, 3 strips thick cut natural bacon
Ensure the omelette is cooked through but still moist on the inside by avoiding overcooking.
Slide the finished omelette onto a plate and enjoy.