In a large pot, add the lamb meat, onions, carrots, parsnip, and celery. Season with salt and pepper. Cover with water and bring to a boil. Skim off any foam that forms on the surface.
Reduce the heat to medium-low and let it simmer for about 1 hour, or until the lamb meat becomes tender.
Add the potatoes and rice to the pot and continue simmering for another 15-20 minutes, until they are cooked through.
In a separate bowl, mix the sour cream with lemon juice until well combined. Slowly add a ladle of the hot soup broth to the sour cream mixture, stirring constantly to prevent curdling.
Gradually pour the sour cream mixture back into the pot, stirring gently. Simmer for an additional 5 minutes.
Remove the pot from heat and sprinkle fresh dill on top. Adjust the seasoning if needed.
Let it cool for a few minutes before serving. Enjoy!