I'm going to get married in a private ceremony with no friends or family
Why aren't you inviting others to the wedding?
Our relationship is sacred and we don't want to share it with anyone else.
It's fine to have a private ceremony if it's what you both want. It's the both of your happiness that matters in the end.
WTF.  Are you trying to ruin this for me?
There is nothing wrong with having a private ceremony if this is what you both want. You should be sure to talk to your partner about it to be certain.