Cook the smoked basmati rice according to package instructions, timing it so it finishes about when the curry is done; keep covered and let sit for 10 minutes before fluffing.
Heat the coconut oil in a large non-stick skillet over medium-high heat.
Add the chopped onion and sauté until softened and just beginning to brown, about 8 to 10 minutes.
Add the vadouvan curry powder and kosher salt, stirring to coat the onion and cook until fragrant, about 1 minute.
Add the chopped tomato and sliced okra and cook until the tomatoes begin to break down and the okra softens, about 5 to 7 minutes.
Add the chicken pieces and cook, stirring and turning, until most of the chicken is opaque, about 10 minutes.
Pour in the coconut milk, bring to a gentle simmer, and cook until the sauce is thick and velvety and the chicken is cooked through, about 10 to 15 minutes.
Stir in the lime juice, taste, and adjust seasoning with additional salt or lime juice if desired.
Divide the cooked rice among bowls, spoon the curry over the rice, garnish with fresh cilantro, and serve.