Hey, WOW! Thought I was the only one who had this condition. I think it's because we inhale the aroma of the deer's chest, abdomen and bowel cavity. Not intentionally. Just in the course of cleaning a deer, you have to breathe. Yes, I have deer gut farts also.
I also wear rubber type, surgical gloves, doesn't make a difference. What wearing gloves does do is allow me to be able to eat venison once I have cleaned it. Without gloves, I smell it on my hands for days, no matter the amount of soap, vinegar, lemon juice or anything else.
One deer without gloves, hum, sniff, sniff, taste good, chew, HARD swallow, two deer without gloves, forget it, I couldn't bear to eat it.
I grew up eating deer. My Mom is the same way, can't bear to eat it for the smell. When Dad killed a deer (and he killed a a lot of 'em) she cut the most of it up. No gloves back then.