Yes, people are horrified by public sin, while they themselves are not without sin, of course. But God who all the time sees both public sin, and secret sin, can sovereignly choose to use those who publicly blow it, because in his eyes, their brokenness and sadness and knowledge of their need for him is more acceptable than the secret sin of the smug, who are righteous in their own eyes, and everyone else's.

The sin which most riled Jesus and pressed his buttons was hypocrisy, not sexual sin!!

What I get from these stories is that God uses each and every one of us to His full advantage regardless of our sinful lives. So, yes, I believe that a preacher can be spiritually inspiring while still having sin on their soul. The repair of the sin is and should be only between them, God and the lives directly affected by their sin. But God will continue to use them in His service while the repairs are in progress. God doesn't let anything stand in the way of using us to His service.