Cut the ends off the okra and slice in half lengthwise. Beat the egg and water together and then toss in the okra until well coated. Mix the flour, salt, and pepper. Roll and coat each piece of egg washed okra in the flour and place on a plate. Heat the oil in a cast iron skillet and fry okra until golden brown, turning about halfway through cooking. This will take a few minutes on each side. Transfer to a paper towel lined plate.