I don't want my wife to have friends over to watch Harry Styles on SNL
Is there a reason you don't want your wife to have friends over?
I don't want my wife to see them with me.
It's okay to tell your spouse that you don't want company over. Just be truthful and tell her that you don't want to spend time with anyone that evening. They may be annoyed but can be receptive to your request if you ask them in a kind manner.
I might just try that.
Yeah, you have the right to have a quiet evening at home if you like.  Your friends can maybe go to someone else's house or have them over on another night, when you are by yourself.