I need a forced reload of my podcast - it is showing the wrong podcast.

The iTunes Store, and iTunes when subscribing, depend entirely on the feed: any changes made in the feed show immediately for subscribers, and after a delay - usuall of 1-2 days - in the Store.

The Store is using the feed at

http://bingoplayerspodcast.com/Podcast/BingoPlayersPodcast.xml

This has the title Hysteria Radio and 24 episodes called Hysteria Radio plus the episode number. If you want something different to be in your podcast you have to change the feed accordingly and re-upload it (you don't have to re-submit it). If you have managed to get the wrong feed onto the server you just need to upload the correct one, making sure that the URL remains the same.

You haven't re-uploaded the correct feed to the correct URL.

http://bingoplayerspodcast.com/Podcast/BingoPlayersPodcast.xml

is still showing the Hysteria Radio podcast.

Yes, but that's not the feed URL iTunes is using. You have to place the tritonal feed at the URL currently occupied by the Hysteria feed:

http://bingoplayerspodcast.com/Podcast/BingoPlayersPodcast.xml

Alternatively you need to redirect the Store to using the Tritonal feed by adding a special tag to the Hysteria feed as described in this page:

http://www.wilmut.webspace.virginmedia.com/notes/podcast.html#move

Until you do one or the other nothing will happen,

As you have got two separate podcasts using the same feed you have painted yourself into a corner. The only possibly way out of this is to email Support at podcasts 'at' apple.com and ask them to move what should be the Tritonal podcast to using the correct feed. Give them the URLs of the Store page and both feeds. Their level of helpfulness is rather variable, but they have done this for other people so hopefully they can do it for you.

Once more: both podcasts are being drawn from the same feed,

http://bingoplayerspodcast.com/Podcast/BingoPlayersPodcast.xml

therefore you cannot add the redirection tag to it because it would redirect both podcasts.

It doesn't matter what you do with http://www.tritonalmusic.com/podcast.xml because the Store is not reading it and will never read it until you email Support as I indicated. There is no other way forward.

However, when I tried subscribing to the Tritonal feed in iTunes I got an error that it could not connect. The feed contains an 'itunes:new-feed-url' redirecting to http://feeds.feedburner.com/tritonalmusic/tritonia and that worked when subscribing. I can't see any clear reason why the Tritonia feed should fail in Tunes - but you need to sort this out before you try to move the Store to using it or you will have another set of problems.

I keep telling you, the Store page for the Tritonal podcast is using the feed for the Hysteria podcast. Did you put a 'new-feed-url' tag in the Tritonal feed redirecting to the Hysteria feed? That would cause the problem you have, and such a redirection is permanent. Removing it from the feed does not reverse the redirection.

And please see the paragraph I added to my post above about being unable to subscribe to the Tritonia feed, and its having a redirect to Feedburner. You need to check that out asap.

Of course it's permanent. When you put the tag in the old feed, redirecting to the new feed, the Store switches to using the new feed as instructed. Once done it is no longer seeing the old feed, so how could it know that the tag has been removed?