Peel the eggs and cut into 1 cm (approximately 1/4 inch) thick slices. Drain the mandarin oranges, reserving the juice.
Mix the mayonnaise with the creme fraiche, lemon juice, a splash of tabasco, and 2 tablespoons of the reserved mandarin juice. Season the mixture to taste with salt and pepper.
Arrange the lettuce on plates. Top with the sliced eggs and mandarin oranges. Drizzle with the dressing and serve.