There are 2 options to display the Player in the WEBKiosk site:
the Magazine Player is visible when the WEBKiosk is directly loaded when the visitor opens the WEBKiosk
the Magazine Player is only shown, when a visitor clicks on a magazine cover to read
Go to "My WEBKiosks".
Then click on "Tasks" -> "Edit Design".
Edit the Player widget:
Here you can manage the settings:
If you choose "yes", the Magazine Player will be displayed on the main site.
If you choose "no", the Magazine Player will be loaded after clicking on the cover.