I Corinthians 7

13 And the woman which hath an husband that believeth not, and if he be pleased to dwell with her, let her not leave him. 1
An unbelieving man is not a sufficient reason for a woman to ignore, leave or send him away. Of course, there are negative cases wherein the husband is irrational and has an addiction or social behavior problem, and a woman must protect herself and her children from continuous abuse and brutality.

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1The Holy Bible: King James Version. (1995). (electronic ed. of the 1769 edition of the 1611 Authorized Version., 1 Co 7:13). Bellingham WA: Logos Research Systems, Inc.