G I T,
Good for you for trying to enter a worthwhile profession-whether RAF or Civilian. There are merits to both (I am a NATS controller who used to be Naval Aircrew) and ultimately only you can decide which will suit you best.
My tuppence for what its worth:
Try applying to NATS as well as the RAF, this will give you options should one application not go as planned.
Go and visit your nearest NATS unit (PM me and I will try and identify one for you) for a look-see at the civilian side of things.
As you love aviation, have you considered becoming an airline pilot? As i understand it-and I stand to be corrected by others with more experience than me-civilian regulations tend to be more sensible with their approach to asthma sufferers than the military.
Good luck for the future.
CTF