In a large bowl, whisk together the eggs, milk, salt, and pepper.
Heat 1 tablespoon olive oil in a non-stick skillet over medium heat.
Add the chopped onion and sauté for 2-3 minutes, until softened.
Add the spinach leaves and cook for another 2 minutes, until wilted.
Remove the vegetables from the skillet and set aside.
Heat the remaining olive oil in the same skillet.
Pour the egg mixture into the skillet and cook for 2-3 minutes, until the edges start to set.
Sprinkle the shredded chicken and cooked vegetables evenly over the eggs.
Fold the omelette in half and cook for another 2-3 minutes, until the eggs are fully cooked and the filling is warm.
Serve hot and enjoy!