Oh but BE will be competing with FR ? Flybe, the airline in huge financial troubles and with hardly any brand recognition on the republic ? Should do well...
FR may compete on the same routes, but not the same citypair. I doubt you'll see FR at prime EU airport like CDG or FRA etc so I can imagine that these are the routes that they will likely give up. This is likely enough for Flybe would benefit - after all, if they were loosing lots of money now, you'd be seeing Aer Lingus struggling and judging by their latest figures things look pretty good.
...and really, do we consider BE to be in 'huge' financial troubles?? Lets not over exaggerate...sure they are forecast to make losses in the current year but even at £15m, this is still only 2% of their annual turnover. Believe me, that's not a big loss for an airline - ask AF about Cityjet or LH about BMI.