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Line a cookie sheet with paper towels; set aside.
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Whisk the egg and water together in a mixing bowl. Add flour, salt, and baking powder and whisk thoroughly for 2 to 3 minutes or until smooth, scraping sides of bowl.
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On one slice of bread, arrange 2 slices of ham, turkey, and cheese, covering the bread evenly. Place another slice of bread on top and slice each sandwich in half diagonally.
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Heat oil to between 365 degrees F and 375 degrees F in a 10-inch pan. Do not let the oil reach a higher temperature than this; if the oil starts to smoke, turn the heat down. Dip half of the sandwich into the batter, allowing excess to drain, and very carefully place into the oil.
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Repeat with the other sandwich half. Cook 3 minutes on each side, or until golden brown. Place the cooked sandwich on the prepared cookie sheet in a warm oven until ready to serve. Repeat with the other three sandwiches.
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Cook one at a time, and allow the oil to reach the desired temperature between each.
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Sprinkle with confectioner’s sugar and serve with blackberry preserves on the side.