Are golf club wedding venues allowed to discriminate against gay couples?

Sorry if this is a silly post, my fiancée and I really fell in love with a golf club wedding venue for our upcoming Nov 2026 wedding!

They’ve been super communicative, I have a tour scheduled and we’ve had two calls.

I didn’t think it was necessary to ask if they were same sex friendly, because of the LAD NJ has. But I was just made aware that private clubs are exempt from that rule, and now I’m nervous.

I asked a few days ago whether they were same sex friendly, and I’ve gotten no response when they’re usually replying minutes after I ask something and now I’m nervous :(