Peel and chop the onion. Saute in a little oil until transparent. Use a saucepan
Dice the carrot very small. No need to peel unless it needs it.
Add the carrot and rice to the saucepan with the onion in it and stir it all around
Add the lime zest, the juice and the coconut milk
Put the lid on the saucepan and simmer very gently until the rice is cooked through. Keep an eye in it, we don't want the rice sticking to the bottom of the saucepan, but try nit to stir it too much as the rice will release its starch and go gloopy
Alternatively, you can bring everything to a boil and bake it in a covered dish in the oven for about half an hour