Thaw your turkey in the fridge. Once completely thawed, rinse thoroughly with running water and pat dry with kitchen towels. Place in a deep tray that fits in your fridge. Using a marinade injector, inject turkey all over with the tequila.
In the blender mix the milk with the onion and garlic cloves. Pour this mixture over the turkey. Sprinkle salt and pepper to taste on top and add the bay leaves and thyme. Marinade inside the fridge for 12 hrs., then flip turkey upside down and marinade for 12 more hrs.
Preheat oven to 325 F. Place the turkey in a roasting pan, previously greased with the olive oil, breast side up and tie the legs and wings with trussing thread. Pour some of the marinade on top. Place in preheated oven and cook for 3 -3.5 hrs. until a meat thermometer inserted into the thickest part of the turkey (meaty part of thigh) reads 165 F.
Carefully take the turkey out of the oven, let in rest for 20 - 30 minutes before carving, garnish to your liking and serve.