Heat the olive oil in a large deep skillet or pot over medium-high heat.
Add the ground turkey and diced onion, cooking until the turkey is browned and onions are translucent.
Stir in the diced carrots, sea salt, black pepper, garlic powder, and smoked paprika.
Add the dry white rice to the skillet and stir for 1 minute to lightly toast the grains.
Pour in the water, bring to a simmer, then reduce heat to low and cover tightly.
Cook for 12 minutes, then quickly place the broccoli florets on top of the rice and replace the lid.
Continue cooking for 5-8 minutes until the rice is tender and the liquid is fully absorbed.
Remove from heat and let the pot sit, covered, for 5 minutes to finish steaming.
Fluff the turkey and rice mixture with a fork and serve over a bed of fresh shredded lettuce.
Top each bowl with a dollop of Greek yogurt for a creamy finish.