How do I resolve a rivalry with my wife?

Solution 1:

As far as I know the only way to resolve a rivalry is to wait for an event to fire. But, also as far as I know, rivalry with your wife does not affect the chances of having children. If you are not having any it's more likely to be due to fertility. If you get a chance to become lustful or a hedonist, it can do wonders. Beyond that, it's a dice roll. You have a nonzero chance of peaceful expansion.