Hm,
Is "Assignment 2 for visit 2 -- Special Needs Terminology Glossary" actually the name of your glossary?
If so, it looks confusing to call a glossary "Assignment something Glossary", since Assignment and Glossary are 2 separate activities in Moodle.
In the Subject of the email message screenshot you posted I can see the "New glossary entry in" string, which does not exist in the language strings of standard Moodle plugins. Which makes me wonder where that string can come from. Do you have any non-standard "add-ons" installed on your moodle site?
What are your Glossary settings? If your glossary accepts new entries by students, is it set "Entries Approved by default"?