Step 1: In a large mixing bowl, whisk together the flour, granulated sugar, baking powder, salt, cinnamon, and nutmeg until well combined.
Step 2: In a separate medium bowl, beat the eggs and then stir in the milk and 1 teaspoon of vanilla extract.
Step 3: Gently fold the wet ingredients into the dry ingredients until just combined; do not overmix. The batter should be thick.
Step 4: Fold in the finely diced apples until evenly distributed throughout the batter.
Step 5: Heat about 1.5 to 2 inches of vegetable oil in a heavy skillet or Dutch oven to 350°F (175°C).
Step 6: Drop approximately 1/4 cup of batter into the hot oil for each fritter, flattening them slightly with the back of a spoon. Do not overcrowd the pan.
Step 7: Fry for 2-3 minutes per side until they reach a deep golden brown color. Remove with a slotted spoon and drain on a wire rack over paper towels.
Step 8: While the fritters are cooling slightly, whisk together the powdered sugar, milk/cider, and vanilla for the glaze.
Step 9: Dip the warm fritters into the glaze, turning to coat both sides, then return to the wire rack to let the glaze set before serving.