All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
Islam urged the husband and wife to have good marital relations. Allaah says (interpretation of the meaning): {…And live with them honourably…}[4:19].
The Prophet also advised us to treat our wives well as he said: "Treat women kindly." [Al-Bukhari and Muslim]
However, it is very rare for martial life to be free from problems. But one should be wise in solving them, and learn from the guidance of the Prophet and his companions in this matter.
We advise this wife to seek reconciliation, by appointing some of the wise men from her family and some from his family to look into the matter, may Allaah enable them to reconcile between them. Allaah says (interpretation of the meaning): {If you fear a breach between them twain (the man and his wife), appoint (two) arbitrators, one from his family and the other from her's; if they both wish for peace, Allaah will cause their reconciliation….}[4:35].
It is not permissible for this husband to leave his wife in this suspended condition. She is not a widow and at the same time she does not have a husband. So he should either keep her and live with her honourably, or divorce her. If he does not do one of the above options, then it is permissible for her to take her matter to the Islamic court, if any, or to the Muslim community in case there is no Islamic court of Justice.
It is also not permissible for this husband to harm his wife by demanding that she gives to him a ransom without a sound religious reason. This is a kind of transgression; Allaah says (interpretation of the meaning): {…and you should not treat them with harshness, that you may take away part of the dowry you have given them, unless they commit open illegal sexual intercourse….}[4:19].
Moreover, it is not permissible for the wife to accept his demand; she should take the matter to whoever would be able to take her right from him.
As regards the fostering of the children, in principle it is the right of the mother if there is no deterrent, because in case of deterrence, the fostering of the children will be transmitted to whoever is more appropriate for it according to the classification mentioned by the Islamic Jurists.
There is no harm for this woman to remarry after her husband divorces her, or after the Muslim community, or the judge divorces her from him.
Anyway these issues are controversial, therefore, it is more appropriate to take the matter to an Islamic Court, if any, otherwise to an Islamic Centre or Islamic Foundation in order to hear from both parties and study all the aspects of the issue and its circumstances which would affect the ruling.
Allaah knows best.