In a shallow dish beat together egg whites and milk with a fork. Add 2 tablespoons flour, cheese, salt, pepper and nutmeg, and mix well. Coat a large non-stick skillet with cooking spray and add 1 teaspoon butter. Place over medium heat until butter sizzles.
Put remaining 3 tablespoons flour in plastic bag. Add 2 turkey slices at a time to bag and shake to coat. Dip into milk mixture, turning to coat and letting excess mixture drip off. Add coated turkey to skillet and cook about 3 minutes per side or until golden brown and no longer pink in center.
Transfer to a heat-proof serving platter and keep warm in the preheated oven. Repeat with remaining turkey and butter.
If desired, after all turkey is cooked, add lemon juice and broth to skillet. Boil 1 to 2 minutes, stirring constantly. Pour over turkey.