During Muharram, while mourning Imam Hussein (as), some women cry loudly, making their voices audible to non-Mahram men. What is the Islamic perspective on this situation?
Yes it is allowed for women to cry as they want to express their grief and sadness even if their voice is audible to men. Ladies of Ahlul Bayt (AS) used to weep on their tragedies and men used to hear them. Nothing wrong in it. Men who hear should not think wrongly.
'Wassalam.