Preheat your oven to 425°F (220°C).
Prepare the chicken breast by patting it dry. In a small bowl, combine the Greek yogurt, vanilla extract, a pinch of salt, and pepper. Gently coat the chicken with this mixture and let it marinate for 10-15 minutes.
Meanwhile, cut the sweet potato into wedges. Toss the wedges with half the olive oil, salt, and pepper.
Place the sweet potato wedges on a baking sheet and roast in the preheated oven for about 25-30 minutes, turning once halfway to achieve a crispy exterior.
For the asparagus, trim the woody ends and toss with the remaining olive oil, salt, and pepper. Spread the asparagus on a separate baking sheet and roast for 10-12 minutes until tender and slightly charred.
While the vegetables roast, cook the marinated chicken. You can either grill it over medium-high heat or sear it in a hot skillet for about 5-6 minutes per side until fully cooked and the internal temperature reaches 165°F (74°C).
Plate the chicken alongside the roasted asparagus and crispy sweet potato wedges. Optionally, drizzle any remaining yogurt-vanilla sauce over the chicken for an extra creamy touch.
Serve immediately and enjoy your unique blend of creamy, savory, and subtly sweet flavors in this balanced meal.