Heat the olive oil in a large skillet over medium heat.
Season the chicken breasts with salt, pepper, and smoked paprika.
Add the chicken to the skillet and cook for 6-8 minutes on each side until browned and cooked through.
Remove the chicken and set it aside on a plate.
In the same skillet, add the diced onion and sauté until translucent, about 3-4 minutes.
Add the minced garlic and cook for another minute, stirring frequently.
Stir in the rice, then add the chicken broth, thyme, and cooked chicken.
Bring to a gentle simmer, cover, and reduce the heat to low. Cook for about 15-20 minutes until the rice is tender.
After the rice is cooked, stir in the frozen peas and carrots, cooking for an additional 5 minutes until heated through.
Taste and adjust the seasoning as needed before serving.