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.
Islam urges the spouses to have good marital relationship with each other as this is a means for the stability of marital life. Allaah Says (what means): {And due to the wives is similar to what is expected of them, according to what is reasonable.}[Quran 2:228] For more benefit, please refer to Fatwa 86618.
In fact, your husband has no right to oblige you to go out to work. As regards lying, there is no doubt that it is a bad trait that is not befitting for a believer. Sharee’ah permitted lying between the spouses in matters that are beneficial for the stability of marital life. However, a spouse should not have the habit of lying when dealing with the other spouse. For more benefit, please refer to Fatwa 90665.
Furthermore, it is not permissible for the wife to ask for divorce just because her husband lied to her. So, we advise you to be patient and endeavour to have a mutual understanding with him about the problems that arise.
It should be noted that the benefit is not always in a wife obtaining divorce; especially that Allaah blessed you with a child from your husband who has the citizenship of another country and this may lead to a dispute between you in regard to fostering the child. Therefore, we stress that you should be patient and try to reconcile with your husband as much as possible.
However, if the marital relationship between you worsens and you hate your husband and you fear that this would lead you to be negligent about his rights on you, then you have the right to ask him for Khul’ in return for compensation as confirmed in the Sunnah. For more benefit on Khul’, please refer to Fatwa 89039.
It should be noted that it is not permissible for a Muslim to commit suicide, because, in doing so, one loses this life and the Hereafter. If he is distressed and sorrowful, then he should turn to Allaah and ask Him to make a way for him to get out (from distress); Allaah Says (what means): {Is not He (better than your gods) Who responds to the distressed one, when he calls Him, and Who removes the evil?}[Quran 27:62] Also, you should supplicate with the supplication of a person in distress. The Prophet said: “Allaahumma rahmataka arjo fala takilni ila nafsi tarfata 'ayn, wa aslih li sha'ni kullahu, la ilaaha illa ant.”
“O Allaah, it is Your Mercy that I hope for, so do not leave me in charge of my affairs even for a blink of an eye and rectify for me all of my affairs. None has the right to be worshipped except You.” [Ahmad and Abu Daawood] For more benefit, please refer to Fatwa 84296.
Allaah Knows best.