Preheat oven to 350 degrees F. Lightly coat a loaf pan with nonstick cooking spray.
In a medium-sized bowl, combine flours, sugar, cinnamon, salt and baking soda. In a larger bowl, beat the egg whites at a high speed for 1 minute. Beat in applesauce and buttermilk. Gradually add the flour mixture and beat until just combined. Stir in cranberries and walnuts. Transfer to prepared loaf pan.
Bake for 45 minutes or until edges begin to pull away from the sides of the pan and a toothpick inserted in the center comes out clean. Slice and serve.
