How the church can embrace moral relativism without losing face

I know the church currently does not wish to embrace moral relativism, but when it's ready, I've thought of a good sell.

The concept has already be established that humans are fallible and can be led into temptation. So all the church would need to do is mention, when appropriate, that if one does find oneself led into temptation, one should attempt to cause as little harm and damage as possible. They wouldn't have to have any great fanfare or make a big announcement about the change in policy, and they wouldn't even have to change the rules about what constitutes a sin. Just whenever the topic comes up, mention that, while it's preferable not to sin or give into temptation at all, if you just aren't strong enough to resist, it's better to reduce harm as much as possible.