Sauté the vegetables. Heat the olive oil in a Dutch oven over medium heat. Add the onion, garlic, and carrots. Cook for about 5 minutes, stirring now and then, until the onion looks softer and the carrots start to lose their raw edge.
Add the rice and stock. Stir in the brown rice, then pour in the broth. Cover the pot and let it simmer over medium heat for about 35 minutes. You want a gentle bubble, not a hard boil.
Check the rice. After the simmer, the rice should be almost tender. It should still have a little chew because it will keep cooking.
Stir in the turkey. Add the chopped cooked turkey and let the soup simmer for at least 15 minutes. This warms the turkey through and lets it pick up the flavor of the broth.
Finish with cream and thyme. About 10 minutes before serving, stir in the wine and then gradually add cream and thyme. Let it simmer on low heat for about 10 minutes.
Notes
Store leftovers in an airtight container in the fridge for up to 4 days.TIPS:
For the best texture, keep the heat steady and stir the pot now and then, especially once the rice starts softening. That helps prevent sticking and keeps the broth even.
Before you add the turkey, check the rice, it should be nearly tender but not fully done. It will cook more with the turkey and be soft enough to eat.
Keep the heat moderate after adding the cream. A gentle simmer is better than a rapid boil.