Bring a large pot of salted water to a boil and cook the brown rice fettuccine according to package instructions until al dente.
While the pasta cooks, season the chicken breast with sea salt, black pepper, and garlic powder.
Heat olive oil in a large skillet over medium-high heat and sear the chicken until golden brown and cooked through, approximately 5-6 minutes per side.
Remove the chicken from the skillet and let it rest for a few minutes before slicing into thin strips.
In the same skillet, add the minced garlic and sauté for 30 seconds until fragrant, then remove from heat.
Steam the broccoli florets in a steamer basket or the microwave until bright green and tender-crisp.
In a small bowl, whisk together the Greek yogurt and parmesan cheese with 2 tablespoons of the hot pasta water to create a smooth, creamy consistency.
Drain the pasta and add it to the skillet along with the sliced chicken, steamed broccoli, and the yogurt sauce.
Gently toss all ingredients over low heat for 1 minute until the sauce is well-combined and coats the noodles evenly.