Would it not smell bad? I would expect poultry to be quite lively on that front.Yes but food poisoning bacteria is odourless and your meat would still smell fine but could be deadly...relying on smell for food safety is not a good idea. That said without knowing the specifics it difficult to comment on this bird.
A quick Google suggests off turkey will smell strongly, will be slimey and greyish. If in doubt, bin it. Food poisoning on Christmas day ?