In a medium-size mixing bowl, combine the ground turkey, dill, scallions, sweet pickle relish, salt and pepper.
Score the meat into 4 equal parts and then form 4 patties, about 1 1/2-inch thick. Drizzle them with EVOO and set aside.
Place a large, nonstick skillet over medium-high heat and add 1 tablespoon EVOO. Place patties into the pan and cook 6-7 minutes per side, or until cooked through.
In the bottom of a medium size bowl, stir the sour cream, honey, lemon juice, mustard and the parsley to make a dressing.
Add the cabbage, radishes and apple to make a slaw.
While the patties are cooking, spread a thin layer of butter on each slice of bread, turn them over and place a slice of cheese on each of the non-buttered sides of the bread.