To listen to a private podcast, you have to subscribe to the private podcast feed. Again, I use Hello Audio connected to ClickFunnels.
So, I create a page to get someone to opt-in, to receive the content that I created. Once they opt-in, Hello Audio sends then them an email to get them to subscribe.
Now, in that email, they click a button and it subscribes them to their favorite podcast player, and it sends them to that private podcast in their favorite podcast player. And then they could just listen to your content whenever they want.