If you run out of fuel during the event:

Drop from supercruise

Power off as many modules as possible (except life support)

Contact the Fuel Rats at http://www.fuelrats.com/i-need-fuel and click the red button

You may also use the emergency or fuel-rat channel on the appropriate Discord server (please note these channels are not necessarily manned by drilled Fuel Rats)

Leave your current wing (this will make instancing easier)

If you're on emergency oxygen during the event: