that was a capacitor. If you still have the broken part, I suggest to go to an electronic shop as they may have the same parts and are relatively easy to repair. I did replace capacitor on some motherboards some years ago when capacitors were failing on some cheap and non so cheap motherboard.
The board won't work as-is (won't be stable anyway). Get a new capacitor and solder it on the board. If you're not comfortable with doing that, contact me and we can further progress the issue either with repair or purchase. PM me if you want and we can discuss your options.
and, since the leads are still soldered to the motherboared, just weld the new cap to the existing lead. Just make sure that leads wont be able to get together as they will short themself. and make sure you respect the polarity too, as cap tend to explode if inverted... Just use extra caution and you should be able to fix it for yourself.