In a large skillet, heat the oil over medium-high heat. Add the shrimp and herbes de Provence. Season with salt and pepper, to taste. Cook until the shrimp are pink and cooked through, about 3 minutes each side. Transfer the shrimp to a serving platter.
In a small bowl, mix together the yogurt, mayonnaise, mustard, maple syrup, turmeric, and basil until smooth. Season with salt and pepper, to taste. Put the yogurt mixture in a dipping bowl.
Put the bowl of dipping sauce on a serving platter with the cooked shrimp.