In my opinion, if a mans' home life is messed up so that his wife is ready to leave him, he's not ruling his house well and doesn't need to be serving as a deacon or bishop/overseer (popularly known as 'pastor' in various Protestant circles.) Whether a man who has committed and been forgiven for adultery can serve is a question for debate, though one might say he is not 'above reproach.'
I knew a pastor whose wife cheated on him. He stepped down from his pastoral role. It wasn't him that cheated, but his house wasn't in order.
It just doesn't seem right to me that if one spouse commits adultery and the other forgives him and accepts him or her back, that the offended spouse carries a 'get out of marriage free card' that they can use at any time. Spouse X commits adultery, so 5, 10, or 15 years down the line, spouse Y decides that he/she is bored or exhausted with the marriage, and decides to bail, so he/she pulls out the 'get out of marriage free card.' He/she says 20 years ago, my spouse committed adultery, and all his/her church friends say, divorce that sucker. If the spouse commits adultery, you could wait until someone more attractive or richer shows you interest, whip out the 'get out of marriage free' card, and get a divorce while your Christian friends cheer you own. Is that really forgiving and taking the other person back?
As far as divorce goes, the law of Moses makes no provision for a woman to divorce a man. A woman who gives a man a bill of divorce and moves out and marries another a man is an adulterous worthy of the death penalty. That divorce certificate isn't legal. Jesus said nothing about a woman divorcing her husband and remarrying except to forbid it. The 'exception clause' in Matthew 19 for a man divorcing his wife is very narrow, for fornication, not for any old cause.
The only possible place where a woman is told she can divorce her husband isn't a woman divorcing her husband. It's being abandoned. This is something Paul says is his own advice, him speaking, not the Lord, and it's in the specific case of an unbelieving spouse abandoning a believing spouse.
The backdrop for the Old Testament laws regarding divorce are a society in which God at least tolerated and regulated polygamy. In fact, the law that tells us that a wife (or concubine) has the right to food, clothes, and sex from her husband is about the rights of a first wife (the context dealing with a wife who had been a slave, likely a concubine in Hebrew culture) after her husband took a second wife. In Jewish law as it was understood, if a man would not provide for the first wife, he still had to give her a certificate for it to be considered legitimate. Judges might do things to compel him if he wouldn't grant the divorce, but he still had to give the certificate.
The man taking a second wife wasn't treated as adultery, legally. Neither would running around with a prostitute have been treated as such. Later, Jesus would point people back to the true meaning of marriage of two becoming one flesh.
During the Reformation, some people in the early days of it allowed for polygamy. I've read that even Luther okayed polygamy in one case. I tend to view Matthew 19 as implicitly indicating that polygamy is wrong. The only difference between polygamy and the adulterous case of a man divorcing his wife Jesus' described is the divorce. Why would mistreating the wife by putting her away be 'adultery'. It's cruel and treachery. Remarriage makes it adultery. If you remove the divorce and just marry two women, why wouldn't that go against one flesh?
Anyway, my point is a lot of Christians will recommend wives to divorce rather than take their husbands back, but I don't see any clear case from scripture that teaches this.