If a person still believes the Divine Command Theory to be true, there are three ways one can respond to an argument with a dilemma structure. The person may accept either the first or second horn of the dilemma and deny that it leads to the following conclusion or they can appeal to a different third option altogether. The Euthyphro problem is not very convincing in the fact that it can very easily be refuted by simply presenting an alternate conclusion to just one of the horns of the dilemma.
For example, if I were a defender of the Divine Command Theory, I would argue that although God’s commands are arbitrary, God still holds moral authority. To further explain my case, I would acknowledge that if God’s commands are in fact arbitrary and hold no moral authority, that means they must be based on random choice or whim, rather than any reason or system. However, that cannot be the truth when my faith teaches me that God’s commands are necessary to create order in society. If it is to my belief that God is the omnipotent power and makes no mistakes, then I must also believe that God does have a reason for his commands and without them, we would be worse off as a society. Those who are against the Divine Command Theory like to label God’s commands as arbitrary because they are not be able to understand the reasoning behind them, but there does not mean there needs to be a clearly outlined background for a command in order for it to be moral. God would have not created the command in the first place if He thought it would not help to preserve order in society, making it reason enough to prove the Divine Command Theory. By denying the conclusion to the first horn of the DCT, I have resolved the Euthyphro
problem.