“Couldn’t you just make another link category?
Or will Connections not let you do that?”
Sorry, I’ve probably confused things by giving too much history… Connections is just the theme I used to work out how WordPress themes are formatted… I mentioned it to illustrate the background of the problem.
I think the problem is related to the php:
<?php get_links_list(); ?>
Not understanding PHP properly, I really don’t know how this works, but it’s clearly pulling in some CSS definitions with the data that don’t fit with my stylesheet. The CSS that was in there previously:
<h2><?php _e('Links'); ?></h2>
<ul><?php get_links('-1', '<li>', '</li>', ' '); ?></ul>
… kept the CSS styles I was using for the rest of the sidebar, but had all the links in one section, which wasn’t what I wanted.