In a deep-fryer heat oil over medium-high heat to 365 degrees F. Into a bowl sift together flour, cream of tartar, baking soda, salt and nutmeg. In a large bowl whisk together sugar and eggs; stir in melted shortening, milk and lemon rind. Using a wooden spoon, beat dry ingredients into egg mixture until a biscuit-like dough forms. Lightly flour work surface and turn out dough. Pat dough out to a 1/4-inch thick round. Use a 2 1/2 to 3-inch biscuit cutter to cut rounds. Reroll scraps.
Fry beignets in small batches about 4 minutes or until golden, turning several times to color evenly. Using a slotted spoon gently remove beignets and drain thoroughly on paper towels. Shake powdered sugar over beignets and serve immediately.
Yield: About 1 dozen 2 1/2-inch Beignets