IMHO continue to be misterious. If you are still DBing, it is working. If you are not, it does not do any harm.
My W told me to find someone too May last year, before she decided to moveout in Sep. But she has never asked me about whether I had someone. It is not her business anymore after we have separated.
It seems that your H is jealous about you. Strange. He wants D. He has no right to be jealous since he has A himself.