I'm not sure what you mean by making a link. Don't you get a /home icon on your desktop as default? I did, anyway. However, when you created a link and put it on the desktop as root, then you put it on root's desktop, I guess. You could try copying it from /root/Desktop to your desktop (/home/username/Desktop). To just copy everything from root's desktop, you could do
cp /root/Desktop/* /home/username/Desktop/
You may also need to give yourself permissions: (still as root)
chmod /home/username/Desktop/* a+rx
Change "username" to your username, of course.