I will prove to you that God exists

[Tonus]

He argues that if God truly exists, he would not allow such suffering to occur.

That's a theological argument. How does an atheist use theology to make an argument against the existence of a Creator?

If that is Stenger's argument, then he isn't using theology. He's just using logic.

I am open to the possibility of the existence of a creator; I don't think there are any universe origin stories that are intuitive to me.

But I can, with certainty, disqualify any number of possible deities and religions as being true. Even the most devout religious person does this as well, seeing as they have to accept one god/religion and reject all others. And a God who claims to be concerned with my wellbeing and my future prospects, but does nothing to address those concerns, is pretty easy to dismiss. Heck, any God that created our universe and our world out of a desire to have anything to do with us, and then never ever shows up, can be tossed on that pile as well. There are a long list of ways in which pretty much every God that people worship isn't real.

"God has to exist, check out these proofs" is simply unconvincing and unsatisfying. Explain how the one YOU believe in is actually real.