False Dilemna.
Correct.
Why does God allow young children to get cancer and die from cancer?
Is there any possibility that a God who DOES exist might "permit" it for reasons that have nothing to do with anything any of us are evolved enough to even begin to grasp?
Yep.
It might be, for example, that in the GRAND scheme of things, our entire lives amount to nothing more than an inconsequential flash in the pan. Perhaps our lives here in this realm amount to nothing more than a barely perceptible moment of our total existence?
Maybe God uses all these things as part of some test or sorting process; but that in the end, nobody is fundamentally hurt (even a child dying of cancer in this realm) because no part of our existence in this realm amounts to much of anything in the bigger picture.
Since the "choices" offered by the author of the silly OP don't include any of the many other possibilities, the claim that it has to be one of those three options is plainly false and rather ploddingly stupid.
That's a sad, sad thought, Bro'. A very sad thought indeed.