The folks saying "it's the skill the matters" are all bein' pretty willfully ignorant of how much ship performance affects the relative skill values needed for success. In this instance, if you and the Fer-de-Loser were both, say, a 5 in pilot skills, the difference in ship performance in combat would reduce your effective skilled level to around 2 while increasing the FdL pilot's to around 8. Or, to put another way, if you were going to win, you'd have to so eclipse the other pilot's skill that you'd be effectively partaking in seal clubbing yourself.
The DBX is not suited to fighting an FdL, it doesn't have the speed or maneuverability to keep pressure on it while avoiding its firepower (which is easily double yours), nor the survivability to weather its firepower when it does bring its weapons to bear. Whether or not you as a pilot have that ability relative to the FdL pilot is a different story, but you're 5/0 in the FdL's favor and that's looking unlikely. This isn't a dig, you're just playing out David vs Goliath sans divine intervention.
So options! Firstly, there's no way in hell the FdL can beat your jump range so head for a new system. Secondly, there's always a temporary jump to Solo mode to get something done in peace before heading back to space-gankers online. Third, there are a lot of ships out there, many of them a better matchup for the FdL (though you'll be hard pressed to find an iWin option).