Rotisserie Chicken Soup w/ Rice

This is a great meal.  No wonder they call it Chicken Soup for the Soul.  One thing I love about this is that there's leftover rotisserie chicken to use for another meal (or two)!  Make it tonight.  It's THAT good. I served mine with homemade rolls (check out my buttermilk rolls recipe coming soon, sharp cheddar cheese slices, and honeycrisp apples.  This is real comfort food, and it made me comfortable all week long.

1 (2-lb) rotisserie chicken

3 celery ribs
1 medium onion, quartered and left unpeeled
2 tablespoons dried parsley
2 fresh rosemary sprigs
1 bay leaf
10 cups reduced-sodium chicken broth (80 fl oz)
2 medium carrots, cut into 1/4-inch-thick slices
1/2 cup finely diced onion
1 cup sugar snap peas
1/2 cup long-grain rice, rinsed

Remove meat from chicken, reserving skin and bones. Coarsely chop 1 celery rib and put in a 6- to 8-quart pot along with chicken bones and skin, onion, parsley sprigs, thyme sprigs, bay leaf, and chicken broth. Simmer, partially covered, 1 hour.

While broth is simmering, shred about half of chicken meat into 1-inch-long pieces (about 1/4 inch thick) to yield 1 1/2 cups meat, reserving remaining meat for another use. Cut remaining 2 celery ribs into 1/4-inch dice.

Pour chicken broth through a fine-mesh sieve into a large bowl, pressing hard on solids with back of a ladle and then discarding them. Skim fat from surface of broth.

Return strained broth to pot, then add carrots, diced celery, diced onion, snap peas and rice and simmer, partially covered, stirring occasionally, until vegetables are tender and rice is very soft, about 30 minutes. Stir in shredded chicken and chopped parsley.