Cook and crumble the sausage in a wide skillet or pan until it's nicely browned. Use a slotted spoon to remove the sausage from the pan and set it aside.
Add celery, bell pepper, onion, and butter to the pan. Cook over medium heat for 10 minutes.
Add broth, garlic, salt, sage, thyme, pepper, cayenne, and the cooked sausage. Bring it to a boil. Once boiling, add rice and parsley.
Return to a gentle boil, then cover. Reduce the heat to low or medium-low and cook for 20-25 minutes or until the rice is tender.
Stir the rice once or twice with a fork to make sure nothing is sticking to the bottom, but don't overwork it. Avoid stirring or opening the lid during the last 5 minutes of cooking.
Remove from heat and let it rest, covered, for 10 minutes.