Dice the chicken breast into bite-sized pieces and finely chop the onion, carrots, and garlic.
Heat the olive oil in a large skillet over medium-high heat until shimmering.
Add the chicken to the skillet and sear until golden brown on all sides, then remove the chicken and set it aside.
In the same skillet, add the onion and carrots, sautéing for 3 to 4 minutes until the onion is translucent.
Stir in the garlic, dry basmati rice, and dried thyme, toasting the rice for about 1 minute until it smells nutty and looks slightly opaque.
Pour in the chicken bone broth, sea salt, and black pepper, stirring to scrape up any browned bits from the bottom of the pan.
Return the chicken to the skillet, bring the liquid to a gentle boil, then reduce the heat to low.
Cover the skillet with a tight-fitting lid and simmer for 15 minutes without lifting the lid.
Remove the skillet from the heat, quickly stir in the frozen peas, and replace the lid.
Let the pilaf rest for 5 minutes to allow the rice to finish steaming and become perfectly fluffy before serving.