Depends on what the peice is you broke if anything important. Their are a lot of parts that are just filters and thins to make a better video output and clean up voltage spikes and other things similar like that. If it's a part like that it may well be fine, but keep an eye on it just in case. Like he said if all the functions still work properly and it's not smoking you just might have gotten lucky. Test ALL the video modes to be sure, I belive the direct X test will do it and the game benchmark from mad onion or whatever they call themselves now will work also.
I broke of a tiny surface mount cap on mine trying to replace the dead fan. I managed to find it and solder it back in place. I then tried a different aproach with the fan. I'm using it now, TI 4200 just like yours.