I do not use WordPress so I can not help you with that. But I do create web pages.
If you put an iframe into your web page with the tempest web page that looks the same as from your app you might have what you are asking for.
Here is topic with an example and if you view the source of that page you can see how iframes are inserted.
Perhaps a web page address like this but change the Tempest station number to your own:
cheers Ian 