In episode 1, it was mentioned about her husband, but it feels like the author forgot about the husband. He is never mentioned again after the first episode.Technically Monica is married, but her husband is accused of committing financial crimes and is being prosecuted. Anyway, we haven't seen Monica's husband in this game yet (or we have, but don't suspect it (a hint of training at Marcus' in ep3)).
An example would be that Julia wants to marry Monica even though she should know that she is already married, because she worked as a maid in her house.
The other proof is that there is no cheating in Genre.
I rather think that the husband was deleted or forgotten.