First, combine the dry ingredients in a large bowl (the flour, baking powder, cinnamon, nutmeg, sugar, and salt). In a separate bowl, combine the milk, cider, eggs, 1 tablespoon vegetable oil, and 1/2 teaspoon vanilla. Gently fold the wet ingredients into the dry ingredients. Fold in the chopped apple.
Heat oil to 350 degrees F. Use a thermometer if you've got one handy. If not, just make a test fritter and adjust the temperature from there. The First Pancake Principle (i.e. the first pancake is always slightly messed up and then everything on from there is smooth sailing) is one that cannot be ignored in the culinary world.
When the temperature is right, drop the batter into the oil a tablespoon at a time and fry until golden brown. Don't worry if they end up becoming weird shapes! Drain on paper towels.
Roll the fritters in cinnamon sugar and serve immediately! They're really best when they're fresh.