Thank you both for responding.
The shortcode will be useful, but it won't change the fact that the pages for events are linking to non-functioning category pages.
Here is a sample link:
Notice how Upper Quadrant (the category of event) leads to a page with no content. It should probably lead to a page that lists events within that category. This link is put in there by the plugin, I don't have control over it.
Please let me know if you can think of a fix for this. I could maybe hide the category link with css but that feels like defeat rather than a solution.