Family and BDSM is always a clash, in most cases people don't want their families to know (as clearly you did not, otherwise it would not be the situation it is). Though sometimes it can be a happy combination - I know of one couple who found out that her father and mother were also a BDSM couple and were fine with what she did.
Usually, however, parents thinking of grown up children having sex and children thinking of parents having sex is not a comfortable thought which is why things are usually so circumspect - in vanilla as well as BDSM.
I hope you find a resolution to your situation that satisfies you. Be careful, is all I will say in advice. If you want to share more information (completely confidentially) to me in private I may be able to offer more advice but will not do so without knowing the full story.