Confident doctor will take care of Prince or other leader (7)
I believe the answer is:
supremo
'other leader' is the definition.
'supremo' can be an answer for 'leader' (I've seen this before). I am not sure about the 'other' bit.
'confident doctor will take care of prince' is the wordplay.
'confident' becomes 'sure' (similar in meaning).
'doctor' becomes 'mo' (medical officer).
'will take' means one lot of letters goes inside another.
'care of prince' becomes 'p' (I can't explain this - if you can you should give a lot more credence to this answer).
'sure'+'mo'='suremo'
'suremo' placed around 'p' is 'SUPREMO'.
'or' acts as a link.
Can you help me to learn more?
(Other definitions for supremo that I've seen before include "Person in overall charge, really the top man" , "Overall head" , "Big cheese, head honcho" , "top boss" , "Big fish" .)