Divine Command Theory versus Skepticism About Moral Reality
“Does God command this particular action because it is morally right, or is it morally right because God commands it?” It is in answering this question that the divine command theorist encounters a difficulty. A defender of Divine Command Theory might respond that an action is morally right because God commands it. However, the implication of this response is that if God commanded that we inflict suffering on others for fun, then doing so would be morally right. We would be obligated to do so, because God commanded it. This is because, on Divine Command Theory, the reason that inflicting such suffering is wrong is that God commands us not to do it. However, if God commanded us to inflict such suffering, doing so would become the morally right thing to do. The problem for this response to Socrates’ question, then, is that God’s commands and therefore the foundations of morality become arbitrary, which then allows for morally reprehensible actions to become morally obligatory.
The Internet Encyclopedia of philosophy.
It's peer reviewed and says gods commands under divine command theory would be arbitrary. I think this can end that argument. But perhaps you have more criticisms?