If a wife who was brought to Saudi Arabia is divorced and has children of fostering age, is her husband entitled to deprive her of her children and permanently deport her from the country, knowing that she is unable to take her children to her home country?

When a husband and wife separate, custody of the children goes to the mother unless there is an impediment to her. However, if the husband and wife separate and each lives in a different country, the father has a greater right to custody. If you remain in the country where your husband resides, then custody is yours. Your ability to remain in the country and the possibility of your expulsion from it depend on the laws of that country. The one who resolves disputes is the Sharia judge.