The suspended wife: Is it permissible for her to leave the house without her husband's permission?

Question:
May Allah reward you. She says: Honorable Shaykh, a sister from the Arab Republic of Egypt is asking. I have a full sister who is committed to the commands of Allah, and praise be to Allah, and we do not praise anyone beyond what is due to Allah. However, her husband left her in a suspended state and married another woman. She is asking Shaykh Salih now: Does she have the right to go out without her husband's permission to visit her father and to take care of her children's needs?

Answer:
Or is she in disobedience to this husband? It is known that she does not see him, because he has left the house for years and has left her as she mentioned? If she is still his wife, in his house, and he is providing for her and fulfilling his obligations, then she does not go out except with his permission, because the rulings of marriage still apply to her, including that she does not go out except with his permission. So she must ask his permission. And if she knows that he does not object to her going out, or that his desire for her has ended, and he has cut off her financial support and housing, then there is no harm in her going out. But here, going out must be within the limits of the Shari'ah. She does not go out wearing perfume, and she does not go out adorned with jewelry or clothes. When she goes out for her need, she must cover herself, leave off adornment, leave off displaying her adornment, and leave off free mixing with men.