Place the broccoli, cream cheese, chicken broth, carrots, garlic, onion flakes, garlic powder, and nutmeg in the pot of your 8 quart or larger pressure cooker (Instant Pot).
Put on the lid and turn the pressure to High for 4 minutes.
Quick release pressure.
Slow Cooker Instructions
Place the broccoli, cream cheese, chicken broth, carrots, garlic, onion flakes, garlic powder, and nutmeg in the crock of your 8 quart or larger slow cooker (Crock Pot).
Put on the lid and allow to cook on low for 4 hours or on high for 6 hours.
After Pressure or Slow Cooking
Stir in the remaining ingredients, being careful to sprinkle or sift the xanthan gum or gluccie to avoid clumping (the xanthan gum/gluccie simply thickens it more, you can add more or less or leave it out completely).
OPTIONAL: Using an immersion blender, blend the soup until most but not all of the broccoli florets have been ground up.