RESOLVED.
I have finally figured out how to solve this problem. Just like TexasWebDevelopers (in another forum) suggested, I created a text field in additon to the hyperlink field. I did not touch the query below. I left it as it is.
SELECT * FROM MyQryCategoryName WHERE (CategoryID = ::CategoryID::) ORDER BY LastName ASC
But in Frontpage, I right clicked on the text field and clicked "Hyperlink Properties", then "Parameters" then "Insert Field Value" and then selected the Hyperlink/URL field itself. That's it. When I uploaded the file, the URL for the text field appear as John Doe, instead of
www.JohnDoe.com. When you click on John Doe, it still takes you to
www.JohnDoe.com which is what I want.