Open Rebuke

This has been bothering me for a while now.

Should a pastor call out a sin in front of the whole congregation? Should a pastor throw people who won't listen to correction from the church?

I guess it makes sense in a way. If a person at church continues to sin even after being confronted by the pastor, then it could infect the whole congregation.

I guess my hang up with this is the embarrassment factor. But I guess it could embarrass someone to the point of giving up the sin. Personally, I don't think I could go back to that church though. I absolutely hate to be embarrassed. And if someone else does it to me, it's worse. So, personally speaking, it might encourage me to stop committing that sin, but I would be unable to return to that church.

I guess it would be one thing to do it quietly, but in front of the whole congregation just seems too much to me. I could be wrong, of course. What do you think?
______________________________________________________
"Better is open rebuke than hidden love" (Proverbs 27:5).
"Do not entertain an accusation against an elder unless it is brought by two or three witnesses. But those elders who are sinning you are to reprove before everyone, so that the others may take warning" (1 Timothy 5:19-20).