FollowingHim said:The Biblical basis for not taking back a wife who sleeps with another is Deuteronomy 24:1-4. In my reading of it this only applies to a properly divorced woman, not an adulteress, so this passage doesn't say you can't show mercy and take back an unfaithful wife. However some are applying it to the situation of adultery also (incorrectly in my opinion).
Deu 24:1 When a man hath taken a wife, and married her, and it come to pass that she find no favour in his eyes, because he hath found some uncleanness in her: then let him write her a bill of divorcement, and give it in her hand, and send her out of his house.
2 And when she is departed out of his house, she may go and be another man's wife.
3 And if the latter husband hate her, and write her a bill of divorcement, and giveth it in her hand, and sendeth her out of his house; or if the latter husband die, which took her to be his wife;
4 Her former husband, which sent her away, may not take her again to be his wife, after that she is defiled; for that is abomination before the LORD: and thou shalt not cause the land to sin, which the LORD thy God giveth thee for an inheritance.
clearly the woman has been divorced by two husbands. the question of why would be a separate discussion, but neither divorce appears to be at her instigation.
we can only make assumptions about why she is now an abomination to YHWH, but becoming unacceptable to two separate men is a pretty good indicator that she is not walking humbly before her Lord.