On which wife? If it was Diana, the hit would be huge, especially if it came out that it was responsible for her '96 suicide. (1) in that case, the press would crucify him. If it was Camilia, it wouldn't be quite as bad. It'd more of a joke for the tabloids and comedians - "Randy Prince Charlie can't keep it in his pants, wink, wink, nudge, nudge..."
1 - She was reported to have made several attempts OTL. Here, instead of a divorce in '96, it was a sucessful attempt.