I made some chili the other day and got a bit heavy handed with the heat. For a 2 quart pot, I added about 3 tablespoons of ketchup and juice from half a lemon. It cut the heat quite a bit. I suggest playing around a bit with the above, plus, consider adding a bit more stock, which you can always thicken later.
Depending on the soup, you could add a slurry of corn meal + water or broth; cream/sour cream; or serve it with a lot of fixings that would cut the spiciness--cheese, avocado, sour cream etc.
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