Lightly spoon flour into a dry measuring cup; level with a knife. Combine flour, cheese, and nutmeg, tossing well.
Rub cut sides of garlic on inside of a medium, heavy saucepan. Add broth and wine to pan; bring to a simmer over medium heat.
Add one-third cheese mixture to pan, stirring with a whisk until combined. Repeat procedure with remaining cheese mixture. Reduce heat to medium-low; cook 5 minutes or until smooth, stirring frequently.
Remove cheese mixture from heat; stir in kirsch. Pour mixture into a fondue pot. Keep warm over low flame. Serve with apple wedges.