Boil 4 eggs for 6 minutes for a runny yolk. Immediately transfer to an ice bath to stop cooking. Peel carefully.
Divide the sausage into 4 portions. Flatten each portion into a thin patty in your hand.
Wrap each egg with a sausage patty, ensuring the egg is completely covered. Refrigerate for 15 minutes.
Place the gluten-free flour in a shallow dish. In another shallow dish, beat the remaining 2 eggs with salt and pepper. Place the breadcrumbs in a third dish.
Dredge each sausage-wrapped egg in flour, then dip in the egg mixture, and finally coat with breadcrumbs, pressing gently to adhere.
Heat vegetable oil in a deep skillet or fryer to 350°F (175°C).
Fry the Scotch eggs for 6-8 minutes, turning occasionally, until golden brown and the sausage is cooked through.
Remove from oil and drain on paper towels. Serve immediately.
Notes
Serve with your favorite dipping sauce, such as mustard or chutney. These are best enjoyed warm.