An inspiring problem (6)
I believe the answer is:
asthma
'problem' is the definition.
(I have seen 'Respiratory problem ' mean 'asthma' so perhaps 'problem' could also mean 'asthma')
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for asthma that I've seen before include "Mat has a breathing disorder" , "Shortage of breath" , "Distressing breathing condition" , "Strange that Mat has difficulty breathing" , "Mat has a respiratory disorder" .)