Cook the Basmati rice and then cool the rice under cold running water.
Heat the oil in a wok on a high heat. Add the rice, cook and toss for 5 minutes.
Move the rice up the sides of the wok, leaving a space in the middle. Add 1/2 tablespoon oil to the space. Add onion, carrot, and garlic and cook, stirring gently, until lightly softened and fragrant, about 1 minute. Toss with rice to combine. Add soy sauce and sesame oil and toss to coat. Season to taste with salt and white pepper.
Push rice to the side of the wok and add remaining 1/2 tablespoon oil. Break the egg into the oil and season with a little salt. Use a spatula to scramble the egg, breaking it up into small bits. Toss the egg and the rice together
Add frozen peas and continue to toss and stir until peas are thawed and every grain of rice is separate. Serve immediately.