The wonderful moderators here helped to give me some CSS tips to make it happen.
First, I used a different skin. I can't remember if I downloaded it or if it came with the plugin. But if you go to their website, you can download an alternate skin (or you can find other ones on the web). I unzipped the slim player, and placed it into the swf directory. In the widget options for the plugin, l specified the location of the player.
Then I made some changes to the size. Here are the dimensions that I used:
"width" => "220"
"height" => "40"
You might have to make a few modifications on the size of the menu so that the player is placed exactly where you want it to be.
I hope this helps!