Cook the white rice according to the package instructions. Warm the black beans in a small saucepan over low heat.
Toss the sliced chicken breast with 1 tablespoon of fajita seasoning and 1 tablespoon of olive oil until evenly coated.
Heat a large cast-iron skillet over medium-high heat. Cook the chicken for 5-7 minutes, stirring occasionally, until beautifully browned and fully cooked through. Remove from the skillet and set aside.
Add the remaining 1 tablespoon of olive oil to the same skillet. Sauté the red, green, and yellow bell peppers along with the red onion and remaining 1 tablespoon of fajita seasoning for 5 minutes, until tender-crisp.
In a small bowl, whisk together the sour cream, freshly squeezed lime juice, and chopped cilantro to create the creamy sauce.
Assemble the bowls by layering the cooked white rice, warm black beans, seasoned chicken, and sautéed fajita vegetables. Drizzle generously with the creamy lime sauce and serve immediately.