Preheat the oven to 400°F.
Season the chicken breasts with smoked paprika, garlic powder, salt, and pepper.
Heat olive oil in a skillet over medium-high heat. Add the chicken and cook for about 6-7 minutes on each side until cooked through. Remove from the skillet and let rest.
In the same skillet, add the green beans and sauté for about 5 minutes until they start to char. Drizzle with balsamic vinegar and toss to coat. Transfer to a baking sheet and roast in the oven for 10-15 minutes until tender.
Meanwhile, cook the fettuccine according to package instructions.
In a saucepan, heat the heavy cream over medium heat. Stir in the Parmesan cheese and butter until melted and smooth. Season with salt and pepper to taste.
In a bowl, combine the feta cheese and lemon juice. Use a fork to whip until creamy.
Slice the chicken and serve over the fettuccine with the Alfredo sauce. Top with the lemon feta whip and serve alongside the charred green beans.