Your assertions are incorrect because 1) they do not take into account the greater context of the mystery of suffering and 2) presume that you (a limited being) are in a position to judge God.
The latter reason is self-evident. The former reason involves the greater context, which is about more than simply the victim. There is also the free choice of the perpetrator - even if only indirectly involved by creating circumstances for evil to be done. The evil choices of some can be inflicted upon those who have no choice - abortion is a good example.
Additionally, you have limited yourself to the "instructional" nature of suffering while ignoring its redemptive value. Suffering, when united to the cross of Jesus, has redemptive, salvific value - and not only for the person who suffers, but possibly for others as well. I say "possibly" only because the person to receive the benefit must accept it in some way, at least at the moment of death.
Suffering and evil result as the consequence of free will (even if it can be traced only to our fallen nature through original sin, such as the wolf example you gave above). We are given true free will in order that we my have an actual loving relationship with God (without free will, there is no real relationship). Thus, because the choice is genuine, the real consequences of choice for evil can be extraordinarily atrocious - even upon the innocent, and even indirectly.
The infinite justice and mercy of God meet at the cross of Jesus, who is God. The sufferings of the innocent are joined with Jesus' suffering, and have redemptive value for others. Not only that, but by participating in Jesus' suffering, the innocent may actually enter into a deeper relationship with Him upon death, and thus experience reward greater than any suffering experienced here on Earth.
In other words, God gave us free will that we may really come to know and love him, and thereby achieve the most profound state of happiness forever. Because our free will is genuine, we can choose evil. The consequences of evil choices affects the innocent and can even reverborate and affect others for ages. God's answer is to come down from Heaven, become one of us, and suffer with us in order to redeem us.
Thus, when the full context of both the here and now as well as eternity are considered, God is all good.
On the other hand, to the atheist, such evil is insurmountable - because the atheist limits himself to see only the physical world around him. Which, ironically, is itself an evil choice because it violates the first commandment.
Yes, this is pretty much how Aquinas formulated it eight hundred years ago. He thrashed it very soundly. Peter Kreeft's "Making Sense out of Suffering" is a great book on the subject. As is CS Lewis's "The Problem of Pain". Really, this argument has been beaten so hard that it's kind of astonishing to me that it keeps coming back.
The thing is, it doesn't have intellectual teeth, but it has emotional teeth. When we hear stories of terrible, pointless suffering, such as your woman giving birth in the forest, our hearts rend. "It shouldn't be like this!" we cry. And our tears cloud our thoughts.
The thing is, despite our tears, you can't do anything but assert is that suffering is inherently evil. It is at least possible that our suffering, and the suffering of the woman in the forest, and even the suffering of children, is somehow a necessary part of a greater good.
We can't know. Our lives are the lives of amoebas in a microscope slide; only the scientist on the other side of the microscope can truly see the big picture. And apparently, the scientist thinks that suffering is not inherently evil, because he voluntarily endured the worst suffering that our world has to offer. He suffered as much as the woman in the woods. He suffered every bit as much as the baby that was devoured, and he came out glorified on the other side and told us, "Be not afraid."
I don't deny the emotional punch of suffering. But using it to tear down the belief structure which allows suffering to be redemptive rather than just bad luck is tragically misguided.
You misunderstand the doctrine of omnipotence. What it means is that God can do anything which can be done, not that God can do anything which Edtharan can say. Asserting that he can control our every move and leave us with free will is like saying he can draw a four-sided figure and it will be a triangle.
Jimmy Akin does an excellent job explaining this point here:
My linkhttp://www.jimmyakin.org/2010/08/th.html
So Cain swings his club at Abel, and is instantly transported to an alternate reality where Abel is some kind of simulacrum? In this new reality, Cain clobbers Abel; in the first reality, robot Cain gives Abel a big hug?
So every sin results in the creation of a brand new reality populated with homonculi that exist only to do the sinner's bidding. It won't be long until every human on earth is isolated in their own little pocket realities, interacting only with these faked instances.
You think this would actually be superior to the Christian view that God actually respects our choices? That our acts have some sort of impact on the world, beyond our private personal sandboxes? Suit yourself, I guess. But you're not presenting any sort of logical argument against God here, you're simply pouting that he doesn't do things the way you like.
The set of all even numbers is limited, but infinite.