Sick notes daughter produces at importune moment (3-5)
I believe the answer is:
ill-timed
'at importune moment' is the definition.
'sick notes daughter' is the wordplay.
'sick' becomes 'ill' (similar in meaning).
'notes' becomes 'time' (I am not sure about this - if you are sure you should believe this answer much more).
'daughter' becomes 'd'.
'ill'+'time'+'d'='ILL TIMED'
'produces' is the link.
(Other definitions for ill-timed that I've seen before include "Badly scheduled" , "Happening at a badly chosen moment" , "Done or occurring at an inconvenient moment" , "Inopportune" .)