This is such a sensitive topic... but I believe scripture teaches the 'sin' of divorce is in remarriage (other than reconcilation). Jesus and Paul both taught that only death seperates what God has joined together, and adultery occurs if one marries someone else while the spouse is still living. (1 Cor. 7:10-11, 7:39).
Clearly "except' for harlotry", by Jesus' own words
The sensitivity is caused by some folks refusing to accept Jesus own words whereby He shows clearly that this 'law of the husband" (Romans 7) is not absolute....it is conditional, as most covenants are.
When you refuse folks an allowance made by God Himself, yes, we can understand some being sensitive about that ....