What is the legal ruling regarding compensating the second wife for the nights she was absent from her husband's house, due to her insistence on compensation, despite the first wife's anger and rejection of that? And does this action achieve justice? And is the first wife considered wronged, such that her supplication would be answered?

If the wife travels with her husband's permission for her own need, such as visiting her family, her right to a fair division [of nights, among co-wives] is forfeited and she is not compensated for it. This is because the division is for companionship, and maintenance is for enabling enjoyment, both of which are hindered by her travel.

However, if she travels with her husband's permission for his need, then she is entitled to maintenance and the division.