Carefully place turkey breast in large Zip Lock bag. Carefully because the bones will poke holes in the bag!
In a small bowl mix buttermilk, salt and thyme until the salt dissolves.
Pour brine into Zip Lock bag, and seal with as little air as possible.
Place in refrigerator, meat side down in a rimmed dish and marinate for 24 hours.
Two hours prior to cooking, remove turkey breast from brine, and lightly dry with paper towels. Discard brine.
Pre heat oven to 425.
Drizzle olive oil over meat side of turkey. Lightly salt and pepper.
Place turkey (meat side up) on a rack in a roasting pan and cook at 425 for 30 minutes.
Reduce heat and cook for 15 minutes before adding the wine to the bottom of the roaster.
Continue to cook 1 hour and 15 minutes or until internal temperature is 165 or until that handy button pops up. Total cooking time should be about 2 hours.
Remove from oven and let rest 20 minutes before carving.
Leave the pan juices in the pan as the turkey rests. The juices will thicken. Test and season as desired. Serve au jus with turkey.