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, sallallaahu ‘alayhi wa sallam, is His slave and Messenger.
In principle, a Muslim is free from sin, so it is not permissible for a Muslim man to accuse his wife of something bad, especially if it is about her honor, except with evidence. For more benefit in this regard, please refer to Fatwa 87877.
Moreover, the wife has the right upon her husband to treat her in a kind and reasonable manner and he should have a good marital relationship with her as clarified in Fatwa 88304.
On the other hand, the Sharee’ah has clarified the reasons and method of deserting one’s wife, so the husband may desert her if she is recalcitrant according to specific steps taken sequentially; for more benefit in this regard, please refer to Fatwa 85402. Therefore, deserting one's wife by not speaking to her is something contradictory to the Sharee’ah.
Finally, the two following matters should be clarified:
1- Spouses should be wise when problems occur between them and they, as well as the in-laws, should be keen on maintaining good relationships between them.
2- The wife should avoid suspicious situations, especially when her husband is absent so that no one would suspect her. For example, she should wear Hijab when she goes out of her home, she should not go out except for a necessity, she should avoid mixing with men and so forth.
Allaah Knows best.