In the next version, 2.3.0, which is going live any day now, you should be able to add your Shoutcast stream URL to the text field provided in the admin for the player that appears on all show pages. It should play the Shoutcast stream. Please stay tuned for the 2.3.0 release.
We are planning to incorporate a player in a future update, to support playing from streaming services such as Shoutcast and Icecast.
While this is the next main feature we will be working on, it won’t be included in 2.3.0 (which is ready and soon to be released.)
In the meantime, there are other plugins that will give you player functionality for your site. eg. https://ww.wp.xz.cn/plugins/shoutcast-icecast-html5-radio-player/
Hope this helps, if there is something more specific you want to do with Shoutcast, let us know and we will keep it in mind.
Just to eliminate any confusion, the player on the Show page is set to play the latest Show file link if one is added to a particular Show, not the Streaming URL field, which has been added for future player functionality and to be discoverable via the REST API.
Thanks for the corrected information, @majick!