Does the wife have the right to request custody of her daughter, a monthly allowance for her, and financial compensation for herself after divorce due to discovering her husband's infidelity with her aunt and his abandonment of her, and is it permissible for her to go out and travel during her 'iddah (waiting period)?

If the husband is immoral and sinful, he must be separated from unless he repents sincerely. If the wife dislikes the husband, she can seek khul‘ (divorce by mutual consent) in return for a payment. The custody of the daughter belongs to the mother unless there is an impediment, and her maintenance is the responsibility of the father. The divorced woman is entitled to maintenance during her waiting period (iddah (definition)) and a compensatory gift (mutah) if she was not the cause of the separation. In matters of custody and maintenance, if there is a dispute, it should be referred to the Sharia (definition) court. It is not permissible for a woman in her iddah to leave her home at night or spend the night elsewhere, except out of necessity, but she may go out during the day if there is a need.