Responses
He does get embarrassed, but during the time the story is set getting embarrassed for such a big mistake made by a person such as him is huge enough for him to loose his face.
From what i remember after all went down, the duke and his wife doesn't go out much and just sits at home wallowing in their wrong decisions.
I think an aftermath like that is the most fitting for them than dying or anything.
The duke is a terrible father, favoring one child over the other but don't worry he will have his time in the future.