Even after airing it out outside for multiple days, it smells so overwhelmingly bad that it's just unusable.  Had I know this, I would have never bought it.  However, kudos to Wayfair for an amazing customer service experience as they're taking responsibility for it being a manufacturing defect.  I'm likely to buy a different rug from them to replace this one due to their exceedingly helpful customer service.  Thanks, Wayfair!