There has to be a better way to find an answer to a similar problem faced by many.
The first thing I do is to set up CorelDRAW to only see installed and system fonts, the filters are in the font drop down. You may have fonts that are improperly created in storage.
You can try resetting the font manager by holding F8 and resetting the application and the font data base. Then allow the time it takes to rebuild the font data base completely before moving on.