There isn’t a way to force every app and directory to show your episode on a schedule.
All Podcast Directories and Apps run off your RSS feed. When you update your feed with a new episode, the directories, Apps and Subscribers all check the RSS feed to see if something is new. This is not instant.
People get the wrong impression that your RSS feed PUSHES out to everyone. It does not. ALL these places and your subscribers PULL your feed. It asks for your feed when it gets around to it and PULLS your feed to update your listing. Your subscribers subscribe to your feed and after that never really touch Apple Podcasts or the other services again. They are just subscribed to your feed directly in their app of choice. As long as when you publish an episode, you get it if you are subscribed, everything is working. It works the same as every other directory or app. (other than Spotify currently)
There is nothing we or you can do to make that faster. It takes whatever time it takes. To check your RSS feed to make sure it’s working and which episodes are in it, go to CastFeedValidator.com and put your RSS feed address in the box and validate. That should show you what is in the feed and as long as the episode you are looking for is there, it will get to all the directories and apps in time.
The important part is your feed is up to date and the rest of the world will update it when they want to. We can’t force them (unfortunately).