Does a woman sin if she advises her husband who is negligent in performing prayers in the mosque, or if she shows anger towards him, given the great right a husband has over his wife?

A woman does not sin by advising her husband if he engages in what Allah has forbidden him, such as neglecting congregational prayers, drinking intoxicants, or staying up late at night. Rather, she is rewarded for it. The advice, when given gently and with a good approach, is more likely to be accepted and beneficial.