Praise be to Allaah.

Firstly: 

You should note that it is haraam to settle in a kaafir land and be aware of the bad effects that living among those kaafirs has on one’s religious commitment, attitude and way of thinking, as their societies have become corrupt and they have lost good morals. Look at your wife’s situation and how she has become after she was righteous and was seeking knowledge and memorizing Qur’aan. Look at her behaviour, how she wants you to dress and how she denounces the righteous sisters for their chastity and Islamic dress. That is no more than the effect that that environment has had on her. 

After explaining that it is haraam to live among the kuffaar, Shaykh al-‘Uthaymeen said: 

How can the believer willingly live in a kaafir country in which the symbols of kufr are displayed openly and rule is given to someone other than Allaah and His Messenger, and he sees that with his own eyes and hears it with his own ears and approves of it, and feels that he belongs to that land, and lives there with his wife and children, and feels as comfortable there as in a Muslim country, despite the great danger that he and his family and children are in with regard to their religious commitment and morals? 

Majmoo’ Fataawa al-Shaykh Ibn ‘Uthaymeen (3/30). 

For a more detailed discussion of this matter please see the answers to questions no. 14235 and 3225. 

Secondly: 

As she only prays rarely, she comes under the ruling on one who does not pray, and the one who does not pray is a kaafir. The fact that she gets angry with you when you advise her to pray indicates that she takes this important ritual lightly and that she is persisting in not praying. Based on that, it is not permissible for you to stay with her, and you have to leave her if she continues to refuse to pray and if exhortations, reminders, shunning and discipline have no effect on her. 

Shaykh al-Islam Ibn Taymiyah (may Allaah have mercy on him) was asked about a man whose wife did not pray: should he tell her to pray and if she does not do that does he have to leave her or what? 

He replied: 

Yes, he has to tell her to pray, and it is obligatory for him to do so. In fact he has to tell everyone he is able to, if no one else does it. Allaah says (interpretation of the meaning): 

“And enjoin As‑Salaah (the prayer) on your family, and be patient in offering them [i.e. the Salaah (prayers)]”

[Ta-Ha 20:132] 

“O you who believe! Ward off yourselves and your families against a Fire (Hell) whose fuel is men and stones”

[al-Tahreem 66:6] 

And the Prophet (peace and blessings of Allaah be upon him) said: “Teach them and discipline them” – [It cannot be attributed to the Prophet (peace and blessings of Allaah be upon him); it was narrated from ‘Ali ibn Abi Taalib] – In addition to telling and enjoining, he should encourage her to pray, and encourage her to do whatever is required. If she persists in not praying then he must divorce her, and that is obligatory according to the correct opinion. The one who does not pray deserves to be punished until he begins to pray, according to the consensus of the Muslims, and if he does not pray he should be executed as a kaafir and apostate, according to the two well-known views. And Allaah knows best. 

Majmoo’ al-Fataawa (32/276, 277). 

Shaykh ‘Abd al-‘Azeez ibn Baaz (may Allaah have mercy on him) said: 

The husband should not stay with a woman who does not pray, rather he should strive to discipline her so that she may repent and begin to pray. But if she does not do that then he must leave her and Allaah will compensate him with someone better than her. But what he and her father and family should do is discipline her so that she will pray, and if necessary the matter may be referred to the courts so they may ask her to repent. If she repents, all well and good, otherwise she should be executed as an apostate and kaafir, according to some scholars, or as a hadd punishment according to others. Undoubtedly the husband is falling short and his keeping quiet about it is very wrong. The Messenger (peace and blessings of Allaah be upon him) said: “Whoever among you sees an evil action, then let him change it with his hand [by taking action]; if he cannot, then with his tongue [by speaking out]; and if he cannot, then with his heart – and that is the weakest of faith.” And he is able to change it with his heart, his tongue and his hand. 

Allaah says (interpretation of the meaning): 

“The believers, men and women, are Awliyaa’ (helpers, supporters, friends, protectors) of one another; they enjoin (on the people) Al‑Ma‘roof (i.e. Islamic Monotheism and all that Islam orders one to do), and forbid (people) from Al‑Munkar (i.e. polytheism and disbelief of all kinds, and all that Islam has forbidden)”

[al-Tawbah 9:71] 

We ask Allaah to guide us all. 

Fataawa Islamiyyah (3/243, 244) 

Shaykh Muhammad ibn Saalih al-‘Uthaymeen (may Allaah have mercy on him) said: 

… With regard to the answer of the second part, which is that the wife does not pray, what her husband has to do is tell her to pray and discipline her with regard to that. If she persists in not praying then she is a kaafir –  Allaah forbid – in which case the marriage is annulled and she is not permissible for him so long as she does not pray, because Allaah says concerning the women who migrated (interpretation of the meaning):  

“then if you ascertain that they are true believers send them not back to the disbelievers. They are not lawful (wives) for the disbelievers nor are the disbelievers lawful (husbands) for them”

[al-Mumtahanah 60:10] 

It is not permissible for a Muslim man to be married to a woman who is a kaafir and an apostate from Islam. If this apostasy occurs after marriage, then the marriage contract is annulled, but if she comes back to Islam before the ‘iddah ends, then she is his wife, otherwise she becomes divorced from him. 

Majmoo’ Fataawa al-Shaykh al-‘Uthaymeen (13/question no. 644) 

Her bad attitude in the way she speaks to you about the way you dress, and her criticism of the dress of  righteous Muslim sisters means that you have to advise her and remind her of Allaah, may He be exalted. If she persists, then what she is doing means that you have to divorce her.  

You may refer to question no. 13243 which lists some of the reasons for divorce, some of which apply to your wife. 

See also the answers to questions no. 12828 and 72245. 

And Allaah knows best.