Her husband installed a satellite dish; is it permissible for her to stay with him?

Question : Yes. A woman asks: Honorable Shaykh, we know that the satellite dish involves deception of the people, but is it better to stay with the husband, or is divorce better? My husband prays the obligatory prayers in congregation and fulfills the five pillars, praise be to Allah. What do you advise?

Answer : I ask Allah to guide my husband. As long as he is as you described, he is close to being guided by Allah the Exalted, and He will enable him to break this satellite dish. As for her staying with her husband, she should stay with him, and there is no blame on her. However, she should not watch the wrong things shown on it. Rather, when these wrong things are shown, she should go to her room and attend to her affairs. She should either read the Qur'an if she can, or read the hadiths of the Messenger (peace and blessings be upon him), or do something else.
As for saying that she should separate from her husband because of this, no. But we ask Allah to guide the husband. As long as he is as you described, he is close, if Allah wills, to guidance.