Rinse the rice. In a large pot, sauté the rice with 1 tbsp of oil, until translucent. Pour the broth over it, and cook over medium-low heat until the liquid is absorbed. Then add the coconut milk little by little, stirring constantly, until absorbed. (By then, rice should be tender. If not, add a tbsp or two of hot water or coconut milk, until rice is tender.) Add salt & pepper to taste, stir and cover to keep warm.
Wash and dry the lime, slice them. Wash and dry the herbs, and pick the leaves off the stems.
In a frying pan, heat the remaining sunflower oil and sesame oil. Add the shrimp, lime slices, rosemary and lemon thyme leaves, and cook over high heat, stirring often, about 5 minutes.