There are actually a couple of different routes here. If your CD player absolutely must be at one location and you must be at another, you could look at squeezebox, or any of the home audio companies out there. There are many products that will do what you want - some will require some computer/IT knowledge.
What might be much more suitable is to stop thinking of CD player as a fixed item. Instead, run an amplified mixing desk and speakers with inputs from a variety of locations around the hall. This is what a lot of live venues do (eg you have verious DI cables on stage for connecting microphones, guitars etc all back to a central mixing desk which then connects out to speakers) and in your case, you could have the CD player near enough to you to see the screen on it.
It isn't very expensive, and actually means you can sort out the PA system to meet your hall's acoustics, no matter what audio source you want to use - a CD player one day, a live entertainer the next.