Is it permissible to ask for a separate home from one's husband?

If staying with the in-laws is not manageable for the wife and is becoming the means of misunderstandings, then the wife should ask her husband to move out and rent some other place.

If this is difficult for the husband, then he should provide his wife with a separate quarter or a separate apartment that is completely separate from the rest of the home, where she will be able to fulfil her essential needs with ease (e.g. private sleeping quarters, kitchen and lounge).

And Allah Ta'ala (الله تعالى) knows best.