1. Preheat oven to 400 degrees F. Line muffin tins with paper liners.
2. In a large bowl whisk together the flour, oats, baking powder and baking soda. In a medium bowl, whisk together the applesauce, water, oil, honey and eggs, then stir in the apple and cheese. Add the wet ingredients to the flour mixture and stir until just barely blended.
3. Spoon the batter into the muffin tins, filling almost full (you may have a couple spoonfuls of batter leftover). Bake for 15 to 20 minutes or until a toothpick inserted into the center comes out clean. Let cool in the tins for a few minutes and then remove to a cooling rack to cool completely.