In a medium sized mixing bowl, combine egg whites, egg, milk, sugar and vanilla. Beat until combined but not foamy.
Add cooked rice and dates and mix well.
Pour rice mixture into a 1 1/2 quart casserole dish. Place casserole dish in a baking pan then place in oven. Pour boiled water into baking pan around the casserole dish to a depth of about an inch.
Bake, uncovered at 325° for 45 minutes or until a knife inserted halfway between the edge and the center comes out clean.
Serve warm or chilled with a sprinkle of nutmeg or cinnamon.
TEXT VERSION OF NUTRITION FACTS: Serving Size: 1/4 of recipe (180 g) Servings Per Recipe: 4