Is there any way to repair a Cigarette burn in carpet?

I had the same problem. I took some spots that could not be seen and snipped some of the carpet fringes out an glued them in the burn spot. You couldn't tell where it was burned after that. Hope this helps.

Just cut out the burn and then "fluff" the surrounding fibers. I don't know what to tell you to do to cure the smoker's lungs.

how big is the burn mark?

Depending on the quality and depth of the pile, you could try gently scraping the burn with a knife to see if you can loosen the carpet fibers, separating them. Then scrape more aggressively, making certain you are not further damaging the fibers. Then dip a white cloth into hydrogen peroxide and rub into the area to remove the stain. It might then be possible to cut the tips of the carpet with scissors, removing the damaged fibers. On the negative side, if the fibers melted, there's not a lot you can do unless you have a remnant and can cut, glue and fill. That's really a job for a pro. Good luck!

My husband cut a piece of carpet out of the back of the closet and removed the piece of the burn and slipped in and glued in the new piece. It did not show at all. You might ask someone who lays carpet to do it for you. For experienced person it would not be difficult. We barter for help on things we cannot do with neighbors etc. Maybe you could too. Trade help on the things you know rather than pay for help