In a large stockpot, bring the chicken broth to a rolling boil over medium-high heat.
Add the rice, reduce heat to low, cover, and simmer for 15-20 minutes until the rice is tender.
While the rice cooks, whisk the eggs in a medium bowl until light and frothy, then slowly whisk in the lemon juice.
Once the rice is cooked, remove the pot from the heat and carefully ladle 2 cups of the hot broth into a separate bowl.
Slowly drizzle the 2 cups of hot broth into the egg-lemon mixture while whisking vigorously to temper the eggs without scrambling them.
Gradually pour the tempered egg mixture back into the large pot, stirring the soup continuously to incorporate.
Add the shredded chicken to the pot and place over low heat for 3-5 minutes to warm through; do not allow the soup to boil or it will curdle.
Season with salt and white pepper, garnish with fresh dill, and serve immediately.