Troubling care reports not opened by bishop on time (5)
I believe the answer is:
angst
'troubling care' is the definition.
'angst' can be an answer for 'care' (thesaurus). I'm unsure of the 'troubling' bit.
'reports not opened by bishop on time' is the wordplay.
'reports' becomes 'bangs' ('report' can mean a loud noise).
'not opened' means to remove the first letter.
'by' means one lot of letters go next to another.
'bishop on time' becomes 't' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'bangs' with its initial letter taken off is 'angs'.
'angs'+'t'='ANGST'
Can you help me to learn more?
(Other definitions for angst that I've seen before include "Anguish" , "General feeling of anxiety" , "Philosophical unease" , "Stang (anag)" , "Nonspecific sense of anxiety" .)