Cook the chicken: Pour in the chicken stock and increase the heat to high. Cover, bring to a boil, and add the halved chicken breasts. Simmer for 10–12 minutes, or until fully cooked. Remove the chicken, chop, and refrigerate until needed.
Cook the rice: Stir the wild rice into the pot, cover, and simmer for 20–30 minutes, stirring occasionally, until al dente.
Make the cream mixture: When the rice has about 10 minutes left, melt the butter in a saucepan. Add the gluten-free flour and whisk for 1 minute. Slowly pour in the milk, whisking until smooth. Cook for an additional 1–2 minutes until thickened.
Finish the soup: Slowly whisk the cream mixture into the pot with the rice and broth. Add the shredded chicken and simmer for another 5 minutes, stirring often. Let it rest for 5–10 minutes before serving.
Notes
Serve with crusty bread or a fresh garden salad. Can be frozen; omit the cream mixture before freezing.