Combine turmeric and olive oil. Rub on chicken and season with salt and pepper to taste. Marinate for 2 hours.

In a medium sauce pan, bring shallots, apple, sugar, salt, and butter to a summer over medium-low heat. Cook until browned, about 10 minutes. Add vinegar and remove from heat.

Preheat grill. Grill chicken for about 3 to 5 minutes on each side, until cooked through. To server, spoon 1/4 cup caramelized apples, and shallots over each chicken breast.