In a large pot over medium heat combine broth, water, and chicken. Bring just to boiling, then stir in rice (without the seasoning packet). Cover and remove from heat
In a small bowl combine salt, pepper, and flour. In a medium saucepan over medium heat melt butter. Stir in contents of seasoning packet until the mixture is bubbly.Reduce heat to low then stir in flour mixture by tablespoons to form a roux. Whisk in cream, a little at a time, until fully incorporated and smooth.