I agree.........deny, deny, deny. It is none of their business. Don't meet with them either because if you are not strong, they will break you down and you will regret it forever after.
And believe me.......don't ever think for a minute that you can trust a family member, whether they are inactive, DF'd, DA'd, or just someone you feel you can trust. I made the same mistake and admitted something to my brother in law who was DF'd at the time and it came back to bite me. He got reinstated within a year and told me I either had to go and tell the elders what I had done or he would. It was awful.
Good luck to you though.