As the name Private Chat suggests, other members cannot hear the audio (when available) or see the text of your conversation.
To find a performer for a Private Chat, enter Free Chat and look for the "Start Private Show" button.
If you missed a certain model's latest show - or just want to enjoy it again – go to their Bio page and click "My Recorded Shows," then select any image to start watching.
Recorded shows are a Premium feature, but Premiere and Basic members can use account funds to view them as well.
If there's a performer or performers you really enjoy, you can (for a fee) join their Fan Club and get a 10% discount whenever you access their Nude and Private Chats.