I have an older computer with an AMD 1800+, 256 Ram, 60GB, etc etc. With its limited capabilities, I dont do many CPU intensive tasks, per se. This thing doesnt even have a video card.
That being said, can I remove this miniature fan mounted on top of the processor? It is incredibly loud and hums a constant, annoying sound.

I've tried all types of things (SpeedFan, clean it, etc) to quiet it down but have not found a solution thus far.
Would my CPU just fry without this thing or might I be OK without it as I just surf the web and read emails?
Thanks for the help!