They have unfortunately:-
"Should the domestic cup winners qualify for the Champions League, the cup runners-up will no longer be granted a spot in the Europa League, and the spot will be given to the highest-placed team in the league which have not yet qualified for European competitions."
seems to be from next season FA Cup winners enter the Europa League at the Group Stage. Losing finalists, if they entered the Europa League, began earlier, at the play-off or Q3 stage.[11] From the 2015-16 UEFA Europa League season, however,UEFA will not allow the runners-up to qualify for the Europa League through the competition
bring on the european tour
Doesn't that mean this season's qualifiers though? I.e 2014/15 F.A cup winners qualify for the 2015/16 Europa league