1. In a large pot, bring the chicken broth, potatoes, and carrots to a boil. Reduce heat and simmer until vegetables are tender, about 10-15 minutes.
2. Add the chopped dill pickles and pickle juice to the pot. Continue to simmer for another 5 minutes.
3. In a bowl, whisk together the sour cream and gluten-free flour until smooth. Gradually add this mixture to the soup, stirring constantly to avoid lumps.
4. Add dill weed, salt, and pepper to taste. Simmer for another 5 minutes, stirring occasionally.
5. Serve hot, garnished with extra dill if desired.