In a large pot or Dutch oven, heat the olive oil over medium heat.
Add the diced onion and sauté for about 5 minutes, or until the onion is translucent.
Stir in the minced garlic and cook for another minute until fragrant.
Add the chicken breasts to the pot and pour in the chicken broth. Bring to a simmer.
Stir in the green chilies, cauliflower rice, cumin, chili powder, salt, and pepper.
Cover and let simmer for about 15-20 minutes until the chicken is cooked through.
Remove the chicken from the pot and shred it using two forks.
Return the shredded chicken to the pot and stir in the heavy cream. Allow the chili to simmer for an additional 5 minutes.
Taste and adjust seasoning if needed.
Serve hot, topped with shredded Monterey Jack cheese, fresh cilantro, and optional jalapeños.