But what if after discussing it with the wife and explaining the situation, she still is not interested in a sexual relationship?
Who knows, maybe she has been having a long term affaire and that is the reason? Or maybe it is something you are doing wrong?
If someone really doesn't want sex with you, or doesn't want sex at all, there is no point trying to convince them to have sex with you or try and emotionally blackmail them into doing it.
For me, the best part of sex is seeing and hearing my woman cum loudly. If that does not happen, there is absolutely no point. You might as well just have a private little wank.
If the issue can't be resolved satisfactorily through discussion, the next step is to ask her if it is OK if you take a mistress. If she flatly refuses to allow you, the next step is to consider separation.
In my case there was a time when my partner had a lover and got so involved that she lost interest in me. The balance was restored by me taking several regular mistresses, sometimes two at a time, plus a few one-night stands.
After my first away game she immediately reverted to being just as turned on by me and eager for my cock as before. Indeed, there was nothing she liked better than fucking me after I had been with another woman.
But one thing changed. She doesn't really like me going down on her any more (sadly). She says it is too demeaning. I know she made her lovers eat her cum filled pussy, as she told me. So maybe she doesn't like the possibility that I might be eating their cum as she thinks it is humiliating.