Here's Jeff from Appliance Aid's advice for gas dryers if you have painted the room recently:
"If you are having trouble with a funny smell inside your dryer or on your clothes, consider this...have you painted or varnished anything inside the home recently? Your gas dryer uses a lot of air, not just the air that blows out the vent but the air used to burn the gas ( natural or propane ) as well, anything like paint fumes or varnish fumes in the air will be picked up in the air used by the burner flame and burnt....this is often described by customers as - burnt fabric softener smell ..... - burnt soap smell .... - burnt medicine smell. Open your windows, air out the basement/home as good as possible, most customers tell me this will go away after a week or so once everything is dried and all the fumes are gone."
If that isn't relevant to you, then the burning smell from your dryer may be lint buildup or another common problem—such as a failing thermostat, motor, or belt. Lint inside of the dryer might be burning causing this smell. Check the vent for lint build up, and also clean the lint filter. Check out this DIY guide for washing your lint screen from Sears PartsDirect: searspartsdirect.com/diy/article/dryer-not-drying-clogged-lint-screen
You can find parts, diagrams, and your owner's manual on www.SearsPartsDirect.com
, just enter your full model number.
You can call Sears Home Services at 1-800-4-MY-HOME for repair and/or a professional cleaning of your dryer.
Hope this helps!