The thing is Khula by strict religious standards can only be given by the consent of the husband. But Pakistan and other muslim countries have passed laws that qualifies certain criteria on the basis where Khula can be given without the husband’s consent such as failure to maintain the wife for 2 years etc. Different countries have passed different laws to get around this stringent requirment. Women also have an option to be be able to get a a divorce without the husband’s consent but only if they have specified that requirment in the Nikah. I think the whole requirement of needing the husband’s consent is rather ridiculous and should be changed with the times.
Here is something helpful: Shari’a and Prevalent Customs In Islamic Societies - Part 2
I have pasted the important information below. Sorry I am a law student and work for women’s rights so that’s why I am giving you this info.
6.2 - Khula
*Khula*, or *mubaraat*, is a mutual divorce effected through the common consent of the wife and husband.[73]](http://www.expertlaw.com/library/family_law/islamic_custody-4.html#_ftn73) This form of divorce requires that the wife give the husband some form of compensation.[74]](http://www.expertlaw.com/library/family_law/islamic_custody-4.html#_ftn74) The compensation may be pecuniary or consist of the wife agreeing to care for the couple's child.[75]](http://www.expertlaw.com/library/family_law/islamic_custody-4.html#_ftn75) Only the Shafii school requires that the compensation be monetary.[76]](http://www.expertlaw.com/library/family_law/islamic_custody-4.html#_ftn76) Under the Shia schools, *khula* must be witnessed by two Muslim males of accepted probity.[77]](http://www.expertlaw.com/library/family_law/islamic_custody-4.html#_ftn77) As in *talaq* divorces, a wife who divorces by *khula* must observe *iddat*.
****6.3 - *Tafriq*****
*Tafriq* is a divorce obtained through a judicial ruling issued pursuant to a petition by a wife or husband. While most of the juristic schools today allow *tafriq*, they differ regarding the circumstances in which this type of divorce may be obtained. The Shia Ithna-Asharis allow *tafriq* only in certain cases where the husband is impotent.[78]](http://www.expertlaw.com/library/family_law/islamic_custody-4.html#_ftn78) Likewise, most Hanifi jurists accept *tafriq* only if the husband has a serious genital defect such as impotency or castration.[79]](http://www.expertlaw.com/library/family_law/islamic_custody-4.html#_ftn79) However, the Maliki, Hanbali, and Shafii schools allow a wife to apply to a court for divorce on other specific grounds. Modern laws based on one of these three schools generally allow a spouse to apply for divorce on the following grounds:
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Injury or discord;
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A defect on the part of the husband;
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The husband’s failure to pay maintenance;
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The husband’s absence without a proper excuse;
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The husband’s imprisonment.[80]](http://www.expertlaw.com/library/family_law/islamic_custody-4.html#_ftn80)
As with the other forms of divorce, a woman divorced by tafriq must observe iddat.