Sheesh every few months these threads come up.
Bacterial contamination: A primer.
Bacteria is heavier than air. Which means if there is a biologically impermable barrier around the food then bacteria can’t enter and start to grow.
Obviously an over falls into the catagory 
So, one can probably assume not much in the way of bacteria has landed on the bird since you LAST OPENED THE OVEN. → key part.
Temperature over 212 F will kill 100% of bacteria dead.
Temperatures of over 160 F will take out the vast majority of bacteria harmfull to humans. I can think of several that will still be dangerous, mainly endotoxins and a few sporing type bacteria.
Basically, once the oven cooled under 160F no more bacteria were getting killed. So if you took the bird out, carved it up and left it on the table while everyone was eating then put it back in a slightly cooled oven all of the bacteria accumilated on the bird had a nice slightly warm, moist enviroment to grow in.
Typically room temp is around 23C – 71 F? is a great condition to grow bacteria, sure it’s slower growth than at 37C but it’s still quite a lot.
I wouldn’t eat the bird.
However I should point out: That when I make gumbo and when I get ready to store it I’ll cover the pot, bring the gumbo to a boil then pull it off the burner and let it cool for an hour or two then put it in the fridge.
In theory that should kill all the bacteria the accumilated in the pot since I started eating (and removed the lid) now there shouldn’t be any living bacteria inside to grow while it cools then I can stick it in the fridge.
However if you were to remove the lid, you are again exposing the food to contamination.
Bacterial grown isn’t stopped in a fridge, mearly slowed. You’ll still get proliferation but at a rate slow enough to allow for several days of storage without reaching dangerous levels.