The first deer I ever shot was extremely gamey. It was late in the evening, and there was nobody that could teach me to field dress it. I took a whole deer to the processor. When it cooked, it smelled absolutely terrible. Tasted fine, but the gaminess was in the smell more than the taste.
After that, it hasn't been an issue. The smell can sometimes still be overwhelming, but I've never had an issue with taste. We will see what changes when I do my own butchering, as I'm planning to start doing soon.