Crack the shell of the ostrich egg with a knife. Pour the egg into a large mixing bowl.
Add the diced red bell pepper, diced spring onion, milk, salt, and pepper.
Whisk everything together thoroughly.
Melt the butter in a frying pan.
Gently pour in the omelet mixture. Move it from the edges to the center as it begins to set.
When it has cooked underneath, flip it over with a spatula. Spread the cheddar cheese on top and let it melt.
Cook for a further 2 minutes. Make sure the omelet is thoroughly cooked.
Flip half of the omelet onto the other half to make a semi-circle. Remove the omelet to a platter.
Season salt and pepper to taste if needed, and garnish with the thyme.