Crack two eggs into a bowl and whisk them together until completely blended.
Heat a small non-stick pan on low heat (setting the burner to 3 out of 10).
Add half a tablespoon of butter and a little olive oil to the pan, allowing the butter to melt and warm up.
Pour the whisked eggs into the pan and let them cook for about a minute until the edges begin to set.
Gently push the edges towards the center and tilt the pan to allow the uncooked egg to move to the edge.
Repeat the process every minute and a half until the remaining uncooked egg is cooked.
Once the egg is set but still soft, add the cheese and let it cook for about 30 seconds until gooey.
Fold the omelet over, season with salt and pepper, and serve.
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