Hiding Media Source Links

Hiding Media Source Links

I inserted an image onto my page from my WordPress media (Add Media ->
Media Library -> Link To = None). However, when I right click on the page
to view the source, I noticed the address to my media. How do I hide this
address? I think its a security risk that the folder in which my WordPress
site lives in (my_renamed_wordpress_directory) is so easily visible. How
do I hide this? When I added the image, I selected Link To: None. Any
assistance will be appreciated. Thanks.
<a href="http://mysite.com/" target="_blank"><img
src="http://mysite.com/my_renamed_wordpress_directory/wp-content/uploads/2013/08/screenshot1.gif"
alt="screenshot1" width="320" height="197" class="alignnone size-full
wp-image-53" /></a>