It is not just the men that can initiate divorce in Islam, women have just as much right. Consider the following Ayats:
**[2:226]
226. Those who take an oath not to have sexual relation with their wives must wait four months, then if they return (change their idea in this period), verily, Allah is Oft-Forgiving, Most Merciful.
[2:227]
227. And if they decide upon divorce, then Allah is All-Hearer, All-Knower.
[2:228]
228. And divorced women shall wait (as regards their marriage) for three menstrual periods, and it is not lawful for them to conceal what Allah has created in their wombs, if they believe in Allah and the Last Day. And their husbands have the better right to take them back in that period, if they wish for reconciliation. And they (women) have rights (over their husbands as regards living expenses, etc.) similar (to those of their husbands) over them (as regards obedience and respect, etc.) to what is reasonable, but men have a degree (of responsibility) over them. And Allah is All- Mighty, All-Wise.**
And while divorce is happening, both Husband and Wife have certain rights over each other:
**[2:228]
228. And divorced women shall wait (as regards their marriage) for three menstrual periods, and it is not lawful for them to conceal what Allah has created in their wombs, if they believe in Allah and the Last Day. And their husbands have the better right to take them back in that period, if they wish for reconciliation. And they (women) have rights (over their husbands as regards living expenses, etc.) similar (to those of their husbands) over them (as regards obedience and respect, etc.) to what is reasonable, but men have a degree (of responsibility) over them. And Allah is All- Mighty, All-Wise.
[2:229]
229. The divorce is twice, after that, either you retain her on reasonable terms or release her with kindness. And it is not lawful for you (men) to take back (from your wives) any of your Mahr (bridal money given by the husband to his wife at the time of marriage) which you have given them, except when both parties fear that they would be unable to keep the limits ordained by Allah (e.g. to deal with each other on a fair basis). Then if you fear that they would not be able to keep the limits ordained by Allah, then there is no sin on either of them if she gives back (the Mahr or a part of it) for her Al-Khul’ (divorce). These are the limits ordained by Allah, so do not transgress them. And whoever transgresses the limits ordained by Allah, then such are the Zalimun (wrong-doers, etc.)**
And you cannot mistreat your wife:
**[2:231]
231. And when you have divorced women and they have fulfilled the term of their prescribed period, either take them back on reasonable basis or set them free on reasonable basis. But do not take them back to hurt them, and whoever does that, then he has wronged himself. And treat not the Verses (Laws) of Allah as a jest, but remember Allah’s Favours on you (i.e. Islam), and that which He has sent down to you of the Book (i.e. the Qur’an) and Al-Hikmah (the Prophet’s Sunnah - legal ways - Islamic jurisprudence, etc.) whereby He instructs you. And fear Allah, and know that Allah is All-Aware of everything.
[2:236]
236. There is no sin on you, if you divorce women while yet you have not touched (had sexual relation with) them, nor appointed unto them their Mahr (bridal money given by the husband to his wife at the time of marriage). But bestow on them ( a suitable gift), the rich according to his means, and the poor according to his means, a gift of reasonable amount is a duty on the doers of good.**
There are many iyats here, but please read them, they are Allahs words
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