Streaming/playing podcasts thru Apple Watch on Watch OS 10 is impossible

Hello Saltymcgee,

We would like to see how we can help you with playing podcast with your Apple Watch. Follow the steps in this link and let us know if you have any questions: Add podcasts to Apple Watch - Apple Support

"When you add podcasts to your Apple Watch, you can listen to them wherever you go, even when you don’t have your iPhone with you. You can add podcast episodes to your Apple Watch using the Apple Watch app on your iPhone, or add episodes directly on your Apple Watch.

Add podcasts using your iPhone

When you follow shows and create stations in the Podcasts app on your iPhone, recent episodes of those shows are available to download to your Apple Watch when it’s connected to power. See the iPhone User Guide for more information about following podcasts and creating stations.

1. Open the Apple Watch app on your iPhone.
2. Tap My Watch, tap Podcasts, then do any of the following:

• Add episodes from stations: Below Add Episodes From, tap Up Next, Saved, or a station, then choose the number of episodes to download to your Apple Watch.
• Add episodes from podcasts you follow: Below Shows, tap Add Shows, tap  next to shows you want to add, then tap Done.
  • By default, three episodes of each show are added to your Apple Watch when it’s connected to power. To change the number of episodes, tap a show, then choose the number of episodes you want to add."

Cheers!