db156
Firstly, Asthma is a concern for a class one medical, and any person embarking on a career in aviation with a history of respiratory orders should seek medical advice before parting with 400 folding to the CAA a la gatwick. . .However, like eyesight and hearing and EEG scans that encompass a class one, there are tolerances that if you fall within, you should be granted a class one. Asthma is tested as part of the pulmonary function, where the nice people in the white coats have you blow as hard and long as you can into a tube until you collapse, then send you jogging round CAA house until you are well and truly knacked. After which, you repeat the whole blowing and collapsing exercise again.. .The remit for the CAA is that asthma is acceptable, as long as the symptoms are under control using acceptable medicine.
If you are concerned, then speak to the CAA (the friendly people of the white coat variety) and also arrange with your GP to have a full pulmonary test.
In my humble opinion, it doesn't sound like you need to worry. If you do not use your inhaler at all or suffer from any wheeziness or shortness of breath since your prescribed bronchitis and are a fit as a butchers dog, I would think that you well within the requirements. But that's just my non medical bit.