To make batter, sift together flour, baking powder and salt. In separate bowl, mix water and egg. Add egg mixture to flour mixture and blend thoroughly.
Make sandwiches, placing 1 slice of cheese between 1 slice of turkey and 1 slice of ham. Cut sandwiches in half and put in a toothpick to hold the sandwich together.
Dip in batter and fry in 360 degree oil until golden.
Drain on paper towels. Remove toothpick and sprinkle with powdered sugar.