Whisk lime juice, oil, sugar, salt and hot pepper sauce together in a large bowl.
Trim peel and pith from oranges. Cut in half lengthwise, then slice into thin half moons.
Add orange slices and remaining ingredients to dressing. Toss to coat. Season to taste with salt and pepper. Cover, and chill 1 hour or overnight. Serve on a bed of lettuce, garnished with additional orange slices.