You can probably do it yourself with a little patience. Simply cut the burned part out with scissors or a knife, as little as possible to get the browned area off. Then cut a tiny piece of carpet from an inconspicuous area, or an extra piece of carpet, if you have one. Take a chunk of the fiber and glue it in the burn hole. Arrange it so that the fibers stand up, if possible. Then after it’s dried, trim to match surrounding area and it should blend right in.