Prepare the Batter: In a mixing bowl, whisk together eggs, milk, melted butter, sweetener, vanilla, salt, and gluten-free flour until smooth.
Heat the Skillet: Heat a non-stick or cast iron skillet over medium heat.
Cook the Crepes: Pour a small amount of batter into the skillet and swirl to coat the bottom. Cook until the edges are crisp and the crepe is golden, about 1-2 minutes.
Flip and Finish: Carefully flip the crepe and cook for another 30 seconds to 1 minute. Repeat with remaining batter.