how do I get podcasts off of my apple watch?

Every time I listen to podcasts from my phone, it goes through the watch at the same time and drains the battery. Even with my phone hardwired to ApplePlay in the car, after a few hours my watch battery is drained. I have tried to go into the "my watch" app on my phone, but when I scroll down to Podcasts, there does not seem to be a way to delete podcasts from my watch. How do I get podcasts off of my watch? I don't have cellular on my watch, so any time I am listening to music or podcasts I will always have my phone with me. Thank you for whatever advice you can give me.