This is old news, but I learned about it only recently (thanks a lot, Mike):
Toxic fumes from overheated cooking pans lined with polytetrafluoroetheylene (PTFE), commonly sold under the trade names Teflon and Silverstone, are a little known but increasingly frequent cause of sudden death in caged pet birds, said a Chicago-area veterinarian…
There are numerous caveats in the article, despite its unambiguous and fear-mongering title, Nonstick cookware emits toxic chemicals. I think there’s too little evidence about the potential harm for you to rush home to box up your nonstick skillets. Unless you have birds, I guess.