Preheat the oven to 355.
Split the butternut squash in two and place the halves on a baking sheet lined with parchment paper. Brush with melted fat or oil. Season with salt and pepper. Bake on the mid rack for about 30-40 minutes until tender.
They usually look similar to this when they are done. Be careful not to overbake them, as this will make the soup taste burnt, which isn't a desirable flavor for this soup.
Remove the seeds with a spoon and scoop all the flesh from the shell.
Put the butternut squash into a large pot with the chicken stock. Bring the soup to a boil and simmer for 5 minutes. Now blend the soup with a bamix or pour it into a blender bowl. Add cream and chili and season with salt if it is necessary, if your stock isn't salty enough. Blend the soup into a velouté "a velvety smooth soup".
This is what you should be serving, a smooth velouté soup that is wonderfully creamy and tastes absolutely delicious.
You can top it with a full fat 40% Créme Fraiche d'Isigny, that sometimes can be bought at Whole Foods. I usually sprinkle a little Sumac on this soup, because the tanginess suits the sweet butternut squash. Bon Appétit!