I am having trouble listing my class on Moodle.net.
Hello Shawn. Courses /classes are manually approved so it may take some time for your course to be listed. It must also meet the criteria which are here: https://moodle.net/mod/page/view.php?id=2
In your particular case, your course is not accessible to new users as there is no way for them to create an account and self enrol into the course and that is why it is not -yet- listed.