Yes Turkey does smell bad when bad.
The easiest way to know when Turkey has gone bad and has spoiled is to smell the Turkey.
Often a bad or spoiled Turkey will have either a Sulfur like smell to the Turkey or the Turkey when bad may also smell like rotten eggs.
If Turkey smells like rotten eggs or sulfur then it's bad and should be thrown out and not eaten.
Another way to tell if the Turkey has gone bad is to look at it and feel the skin of the Turkey.
A bad or spoiled Turkey will not only smell bad but the bad Turkey will also change in color and can have a slimy texture and feeling to the skin or meat of the Turkey.
The color of the Turkey may change to a gray color when bad.
If the Turkey is slimy, smells bad or has changed in color then throw it out.
Raw Turkey will last for around 3 days in the refrigerator and raw Turkey will last for around 6 months to a year in the freezer.
Cooked Turkey will last for around a week in the refrigerator and a year in the freezer.
If in doubt it's best to throw the Turkey out and not risk getting sick.