The anti-stink properties of Merino are due to it's physical structure and chemical makeup, not due to something that has been added to the material. The only thing that's going to wreck this is detergent that hasn't been fully rinsed out coating the fiber. Also, washing 'wrong cycle' is more likely to damage the fit of the shirt than the anti-stink properties.
I'd check the tag on your shirt, most outdoor merino is machine washable / line dry, however much is machine washable low-heat. As I've mentioned the only danger here is to the fit of the shirt not to the anti-stink properties. I've stopped freaking out about whether my wife remembers to pull particular 'line dry only' merino (I wear it not just for camping) to air dry as when she drys it's always on low or super low heat… I've seen no damage to my 'line dry only' merino.