Cook the Chorizo. Heat 1 tablespoon of olive oil in a skillet over medium heat. Add the chorizo, breaking it apart with a spatula. Cook for 5-7 minutes, stirring occasionally, until fully cooked and browned.
Whisk the Eggs. In a bowl, whisk together the eggs, salt, black pepper, and smoked paprika until combined. Whisking thoroughly makes the eggs light and fluffy.
Combine the Eggs and Chorizo. Reduce the heat to low-medium, then pour the egg mixture over the cooked chorizo. Let the eggs cook for 30 seconds, then gently stir with a spatula. Continue cooking and stirring occasionally until the eggs are fully set but still soft, about 3-4 minutes.
Serve and Enjoy. Remove from heat and sprinkle with fresh cilantro. Serve with warm tortillas, avocado, salsa, or refried beans for a complete meal.