This would have not been a "worst game of dominion" online. Or even if I was playing more experienced opponents.
However I played a IRL kingdom from hell. Only because of me of course.
I decided to play an Advisor, Wandering Minstrel, Storeroom engine with Armory support. It was a three person game however both my opponents decided to play BM. I quickly drained the advisors and had 4 or so Wandering Minstrels and 2 Storerooms. My turns took 10 minutes each with the result of buying a province per turn. While my opponents turns took 10 seconds. It was not a fun game because they were all butt hurt at me for my turns taking forever. Oh well
I'm not sure if that would be the worst game IRL. But I would assume someone could come up with something worst. Maybe a Hunting Party, Advisor, Scrying Pool, Spy, Envoy, Wandering Minstrel, Oracle engine in a 4 person game where everyone has 10 minute turns......