I have no comment on her individual situation...how could I? I know nothing about it. But I do know that objectively, if a father is not present, then passing on the faith to the next generation is much more difficult. And though I don't know for sure about this particular pastor, but, in general, I think it is more than fair to say that most megachurch pastors would go pretty easy on divorce, out of wedlock births, etc., lest they "offend."
Now, since you brought it up, I would suggest rethinking your assertion about what the Bible says about divorce.
Here is an article by John Piper which addresses that issue head on. I think it is pretty bullet proof, if one approaches the Biblical text with an open mind, rather than through the lenses of our culture:
http://www.desiringgod.org/library/topics/divorce_remarriage/dr_adultery.html
Finally, obviously we are all sinners. But, there are only a few times in Scripture where it says God "hates" something. In Deuteronomy it talks about God hating pagan idols and their accompaniment, child sacrifice. Several places it talks about "Jacob have I loved and Esau have I hated." And in Malachi, God says bluntly, "God hates divorce."
I doubt if there is a megachurch pastor in America who would read those words from the pulpit. Because if he did, half of his congregation would walk.
You are correct that God "hates" divorce. But there is only one inpardonable sin- blasphemy of the holy spirit. God is a God of love and forgiveness. While there are penalties for sin, the Bible says that when you confess your sins, God chooses not only to forgive, but to forget they ever sinned in the forst place. So shouldn't we withhold our judgement and let the Almighty do the judging?
Very true... yet in Ezra he commanded the men of Israel at that time to divorce their wives. Go figure....