In a bowl, combine egg whites, egg, milk, sugar & vanilla. Beat until combined but not foamy. Stir in cooked rice, snipped apricots, cardamom & orange zest.
Place 4 custard cups in a rectangular baking dish. Divide rice mixture among dishes, Place baking dish on an oven rack. Pour boiling water into the baking dish around custard cups to a depth of 1-inch.
Bake, uncovered, for 40 minutes or until just set, stirring after 20 minutes. Serve warm or chilled. Garnish with slivered apricots & pistachios.