How Can a Woman Divorce Her Husband in Islam? 
When a woman wants a divorce, the Islamic rules are clear. If her husband has committed apostasy, she can ask for a talaq at-tafwid. In addition, if her husband committed adultery, she may also ask for a divorce. In either case, she must show that she was pious in her life.
apostasy
Apostasy is a sin that can lead to divorce in Islam. It can occur either before or after the marriage contract has been concluded. In either case, the marriage is dissolved. Although scholars have disagreed over the definition of apostasy, if a man apostatizes before or after marriage, he will be regarded as having apostatised.
The Islamic tradition teaches that apostasy is a sin against one’s own religion and humanity. The Quran teaches that one is guilty of apostasy if he or she leaves Islam. This view is endorsed by islamic extremists.
talaq at-tafwid
Talaq at-tafwid, or the right of divorce, can be granted to a woman before, during, or after marriage. The first and second talaqs are revocable, while the third and fourth are irrevocable. If the couple cannot reconcile, they may enter a new contract of marriage. In addition, the former husband may remarry his former wife.
Although the power of divorce rests in principle with the husband, it may be delegated to the wife, or to a third party. In this case, the husband has no legal right to revoke the delegation of his power. This power is called tafwid. In the Islamic tradition, the Prophet Muhammad and his wives were both given a verse about divorce. If the wife was given a certain number of divorces, she will not have the right to divorce her husband.
apostasy is a valid reason for divorce
In Islam, apostasy is a reason for divorce, and can happen to either partner, before or after the marriage contract. If the man apostatizes before the marriage contract, the contract will be invalid and the marriage will dissolve. If the man apostatize after the contract has been signed, the marriage will be nullified and the man is not allowed to marry the same woman again. However, this does not mean that the couple cannot remarry in the future; scholars differ as to whether this is possible.
The word apostasy derives from the Greek word apostase, which means defection. Sociologists use the term to describe disaffiliation from a religion. Often, this term refers to rebelling against God and breaking away from the self-limiting practices that bind people to a particular faith.
piety
A woman can turn her home into a heaven or a hell. She can be a good wife and lead her husband to success or misfortune. However, her role in Islam does not end at marriage. A woman must also fulfill her duties as a proper spouse.
good manners of future partners
In Islam, good manners are very important to a woman’s future partners. A woman should not meet a future partner alone before marriage. She should never meet her future partner in the open or at a public place. If she does so, she will not show her true nature to her future partner.
A woman should not attempt to go back on a divorce, nor should she use emotional blackmail to convince her future partner to get back together. Instead, she should try to make her ex-husband feel better about the divorce, and not leave him or her limboed up. Islam views marriage as a solemn contract between two people, and the woman should fulfill her iddat to take her former spouse back on fair terms and set him/her free. Islam also teaches that a good family is essential for the future of mankind.