Does God face moral dilemas every day?
No He does not face any moral dilemmas. Every thing that people blame on God is caused by people. He does answer those prayers everyday. We do not always understand because our focus is on the moment and on self. Most of us don’t talk to Him unless we are in deep trouble, then we mock. He is truly God and truly good.
Although it seems to be less of a question and more of a challenge I do my best to respond intelligently. There are many responses provided by Christians to the “problem of evil”. Thomas Aquinas and C.S Lewis have both provided adequate defense along with Augustine. In this instance I would align with the Free Will defense. Humans have been given free will and as such they have chosen to act against Humanity. Furthermore I would pose a question to you. If evil was absent from our current context what would Heaven be? Evil is not a tangible reality, but rather absence of good. To answer another part of your question. God does not face Moral Dilemmas. This is so because as a Christian I would define “Goodness” as a characteristic based off the person of God. I would argue goodness could not be found in any other place.