The phrase "great shame" refers to a strong feeling of embarrassment, regret, or disappointment about something someone has done or failed to do. Full definition
It would be very great shame if young people think that to be a scientist you must be an atheist. (faith.org.uk)
Those who suffer from sex and pornography addiction often feel great shame, but you should know that we are here to help you in a judgment - free setting. (stenzelclinical.com)
But if a person brought great shame upon the town through committing various crimes, this also might lead to being removed from the roster. (redeeminggod.com)