If the guy is not serious about the lady, he would not have to
worry at all.
There is a geniune concern about telling the truth to the
family.
Just in case they are getting married, she have to face the family
every day.
In this case, just bring your gal friend home more often to know
your family well.
If they want to ask more about her, just let her decide whether to
say or not to say.
If your family really dun like your GF, it does not matter if she
is single or divorced.