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In a small bowl, whisk together the apricot preserves, soy sauce, lime juice, ginger, and garlic.
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In a large baking dish, place the salmon fillets side by side. Pour the marinade over the salmon and let marinate at room temperature for 30 minutes.
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Preheat your oven to 400 degrees Fahrenheit.
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Meanwhile, heat a medium saucepan over medium heat. Add the olive oil and onion. Cook until onion softens, 3-5 minutes. Add the rice and stir, letting the rice absorb some of the oil for 1-2 minutes. Add the apricots, almonds, and broth. Bring liquid to a boil, then stir once, cover and reduce heat to a low. Simmer for 15 minutes, or until the broth is absorbed.
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Toss the carrots in the avocado oil and season with salt and pepper. Place on a baking sheet and bake for 20-30 minutes, until carrots are fork tender.
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Once salmon is done marinating, place baking dish in the oven. Bake for 20-25 minutes, or until salmon is flaky and the internal temperature is 145 degrees Fahrenheit.
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Once the rice is done, stir in the fresh thyme leaves. Taste and season with salt and pepper if needed.
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To serve, divide the rice, carrots, and salmon between plates.