I'm currently publishing articles to wordpress as "Private", as I don't want them to be viewable on the website. However I do need an RSS feed of these posts. Any suggestions on how to go about creating an RSS feed of posts that aren't viewable on my site?
I assume your theme already has a 'feed-rss.php' (if not, here's how they work: http://codex.wordpress.org/Customizing_Feeds)
You'll need to pass a few parameters to the query before you loop through them.
For more parameters: http://codex.wordpress.org/Class_Reference/WP_Query#Status_Parameters