First, the AI baffled me immensely by Lancing their own monster twice in a row when there was no reason to do so even once whatsoever. I mean, WHY?!
And then, there was the hand issue. Arf was only useful here if it had used it to get a free kill on the facedown you set turn 1, and Destiny only protects against destruction - other forms of removal render it useless. It probably could have held off one extra turn if it held on to those Lances and tried to trick you into attacking a 1300 Artog.
And while Noble Knights can get bad hands quite often, Artog the Normal Monster is pretty bad, and shouldn't be ran. They like to use things like Medraut and Borz to quickly Xyz into Sacred Artog all while dumping plenty of Noble Arms into the Graveyard so that they can sit on a untargetable monster with 2500, 3000, or 3500 ATK (depending on what you grab and if you use Arf's after making Artog) that heals you by 500 per turn and can avoid being destroyed once per turn. If done right, Sacred Artog is very hard to get rid of, though, since Custom Card users like to make non-destruction removal cards, it may be a bit easier.