“So, is she going to leave her second husband and renounce her fornicating ways?”
If divorce (for adultery) and death didn’t end a marriage, God would not have allowed remarriage... and Christ would not have reaffirmed God the Father’s words.
If she did not divorce over adultery - or if her first husband isn’t dead, she has deeper issues to repent from.
Divorce was permitted in the Old Testament for any reason. However, the penalty for adultery (by a wife, not by a husband) was death.
Christ also did not permit divorce for adultery. The passage in Matthew misinterpreted to mean that does not use the Greek word for "adultery", but a different word, porneia (often translated "lewdness"). The implication is that people who are unlawfully married (due to consanguinity, for example) or simply "shacking up" are free to contract a real marriage.
Telling people they can get divorced and remarry if they commit adultery simply tempts them to commit a serious sin to get what they want, something Our Lord was not in the business of doing.