My guess is QT is playing the video in the browser, then you are trying to do Save as Source which requires QT Pro.
If this is the case then all you need to do is go to File --> Save Page As from the browser.
The other way to do this is create a page that links to the file.
For example make a page with the following code:
You can do this is notepad or similar and save it as movies.html (or any other filename you want) and upload it to your website.
Which you would then send the other person to that link, for example NO LINKS ALLOWEDyoursiteNO LINKS ALLOWED/movies.html
<html>
<body>
<a href="NO LINKS ALLOWEDyourwebsiteNO LINKS ALLOWED/filename.mov">this is the text that appears on the page.</a>
</body>
</html>
This creates an extremely basic page with just a link to the file, then the other person can just right click on the file and select Save Link As. (or something similar, depends on the browser)
Then you could just update the page with new links and the other person can always just visit that page.