Hi!
First things first, the cartridge need to be removed first. Be really careful with this. Also first remove the back cover so that you can also pry to remove it from below. When the cartridge is removed, please check for damage. If some pins are bent or broken, you probably do need to replace the game card reader. Hopefully this is not needed as you do need to solder it out, this can be somewhat difficult...
But, like Daniel said, some pictures would be nice, if possible!