Yes, you've snapped off the fan connector from the logic board. The four pins are the power connectors. The back two pins help hold the connector to the logic board. I've just done the same thing. That'll teach me for starting a project at 11 PM in dim light.
See this post for more information: https://www.ifixit.com/Answers/View/70090/Fan+Connector+Broken+on+Logic+Board
It looks like an expensive third party logic board repair for both of us.