In a medium bowl, whisk the eggs with the sea salt, black pepper, chopped chives, and parsley until the mixture is uniform and slightly frothy.
Heat the extra virgin olive oil in a non-stick skillet over medium-low heat, ensuring the surface is well-coated.
Add the baby spinach to the skillet and sauté for about 1 minute until just wilted, then remove the spinach from the pan and set it aside.
Pour the whisked egg mixture into the same skillet, tilting the pan to ensure the eggs cover the bottom in an even layer.
As the eggs begin to set at the edges, use a silicone spatula to gently lift the cooked portions, allowing the raw egg to flow underneath.
Once the surface of the omelette is mostly set but still slightly moist, distribute the sautéed spinach, diced smoked turkey, and crumbled feta cheese over one half of the eggs.
Carefully fold the other half of the omelette over the filling and cook for an additional 60 seconds to allow the cheese to soften.
Gently slide the omelette onto a plate and serve immediately while hot.