Reference: http://mufti.af.org.sa/ar/content/أخطئ-على-زوجي-ولا-أعتذر
Question: Sometimes I upset my husband, which provokes his anger. [As a result], he boycotts me and keeps away from me. I cannot apologise to him because I am very ashamed [of myself]; so if my husband remains angry [like this] with me, am I liable for [any] sin?
Response: You must seek to please your husband, and try to get your husband to pardon you for what you have done. [Importantly], do not [leave matters as they are, and] continue upon an error, rather try and please him, and hopefully he will forgive you and overlook what has come to pass – this is the best [path to pursue]. And the Prophet ﷺ said:
So it is incumbent upon the wife to obey her husband [only in that which is good], and not to disobey him.
I ask Allaah to bless everyone with success.