Ok so I say "Aioli" because it's a fake out really, just store bought mayo jazzed up a bit, for ease. Also you can use any herbs you like instead of rosemary if you wish like oregano, basil or parsley would be great.
For "Aioli": In a small bowl combine mayo, rosemary, garlic, vinegar, olive oil, dijon and salt and pepper. Cover and refrigerate while you prepare the rest of the meal.
For burgers: In a medium bowl combine turkey, onion, garlic, rosemary, worcestersire, pepper and salt.
Form into 4 patties and grill over medium hot coals for about 5 minutes per side placing a slice of cheese on each patty 3-5 minutes before it's done. For indoor cooking preheat a griddle to medium heat and cook about 5 minutes per side.
Butter the cut side of each bun and grill until golden about 1-2 minutes, same goes for the indoor preparation.
Allow burgers to rest a few minutes before serving. Assemble topping with lettuce, tomato, onions, pickles and "Aioli". Enjoy!