Does informing someone that the reason for my sadness is a sin I committed, without specifying the nature of the sin and my refusal to disclose it, constitute publicizing the sin?

We hope your informing us of your sin is not a form of public disclosure. However, it is better not to disclose it unless there is a strong benefit. You should not dwell on sadness; rather, utilize it to draw closer to Allah and to counteract evil deeds with good ones. You must also perform sincere repentance.