Thanks for your quick response, macjack! Unfortunately, I couldnt respond immediately because I wasint home.
When doing a little digging around the Support Communities, I found a Terminal command that helped me hide the drive from my desktop.
First you must go to the Terminal app. It is located in Finder ~/Applications/Utilities/Terminal. You can also get to it in Launchpad in the Other folder, or simply search 'Terminal'. Then you enter the following commands to either hide or show a drive.
To hide the drive, enter in Terminal: sudo chflags hidden /Volumes/"Time Machine"
To show the drive, enter in Terminal: sudo chflags nohidden /Volumes/"Time Machine"
The drive I wished to hide was named 'Time Machine'. The quotation marks surrounding 'Time Machine' are there because there is a space in the name. If the drive has no spaces - for example, the name of the drive were 'Backup' - the quotation marks would be unnecessary.
If you are willing to take a shot, you can probably change '/Volumes/"Time Machine"' to another location in the Finder to hide a file of your choice. I did not try this, however, and if it doesn't work, I don't want to be the blame!
I hate to answer my own question, but I felt I should put this up to give a clear answer to anyone else with the same question I had. But thanks anyway's for the extremely quick response, macjack!