*** fy chap. 13 pp. 158-159 If Marriage Is at the Breaking Point ***
As mentioned in Chapter 2 of this book, fornication is the only Scriptural ground for divorce with the possibility of remarriage. (Footnote: The Bible term translated "fornication" includes acts of adultery, homosexuality, bestiality, and other willful illicit acts involving use of the sex organs.) (Matthew 19:9) If you have definite proof that your marriage mate has been unfaithful, then you face a difficult decision. Will you continue in the marriage or get a divorce? There are no rules.
So Rule #1: Fornication is the only act that permits divorce. Pedaphilia would qualify if "sex organs" were involved.
But Rule #2: You have to prove the unfaithful mate was molesting:
***
w77 10/1 p. 607 Questions from Readers ***Jesus himself stated that for his followers the only ground for divorce, such as would free a person for remarriage, is if one's mate commits porneia, gross sexual immorality. (Matt. 19:9) Would there be sufficient ground for divorce if a Christian wife merely suspected that her husband was guilty of adultery? No, for the Christian Greek Scriptures carry forward the principle of a matter's being established by two or three witnesses, as a balanced sense of justice requires. (John 8:17, 18; 1 Tim. 5:19; Heb. 10:28) So, if a wife merely suspected her husband of adultery, but he denied it and there were no witnesses to confirm it, she would not have sufficient basis for establishing with the Christian congregation that she had a right to divorce him and thus be free to remarry.
So if the creep is abusing a child but doesn't admit the crime, and there are less than two witnesses (and usually there are), there can be no "scriptual" divorce.