Marinate (15 min minimum): In a large bowl, place the chicken. Add oil, Cajun seasoning, paprika, and salt. Massage to coat. Cover and refrigerate for 15–120 min.
Prep the vegetables: Dice the bell pepper, chop the shallots, mince the garlic, and halve the lime.
Sear the chicken: Heat a skillet over high heat. Add chicken (no extra oil) and sear 2–3 min per side until golden. Remove and set aside.
Aromatic base: Lower heat to medium. Add oil if needed, then sauté shallots and garlic for 2–3 min. Add bell pepper and cook 3–4 min.
Spices & deglaze: Sprinkle smoked paprika and toast 15–20 sec. Deglaze with chicken stock, scraping up brown bits.
Creamy sauce: Stir in cream and bring to a gentle boil. Return chicken with juices, add tomatoes, and squeeze half a lime over the top.
Simmer & finish cooking: Cover, reduce heat to low, and simmer 15–25 min until chicken reaches 74 °C / 165 °F inside and the sauce is rich and coating.
Thicken the sauce (optional): Remove the lid and reduce 5–10 min, or whisk in a knob of cold butter off the heat for a silky texture.
Serve: Taste and adjust seasoning. Serve over hot rice with generous spoonfuls of sauce, cherry tomatoes, and a touch of lime zest.