Reduce heat to medium. Make a well in centre of pot, add a little Oil if required. Add Garlic, sauté for 30 seconds. Deglaze pot with Wine, allow Wine to mostly reduce. Add Chicken, Thyme, Bay Leaf, Salt, and Pepper. Add Chicken Stock, bring to a simmer, then reduce heat to low, cover, simmer for 30 minutes.
Add Rice to Soup, mix well. Add Cream and bring to a simmer, simmer for 3 minutes.