A way of removing wet doctor in troublesome environment (4-3)
I believe the answer is:
spin-dry
'a way of removing wet' is the definition.
(as in to spin-dry laundry in a spin-dryer)
'doctor in troublesome environment' is the wordplay.
'doctor' becomes 'Dr' (synonyms).
'in' indicates putting letters inside.
'troublesome environment' becomes 'spiny' (I am not sure about this - if you are sure you should believe this answer much more).
'dr' inserted into 'spiny' is 'SPIN-DRY'.
Can you help me to learn more?
(Another definition for spin-dry that I've seen is " Remove moisture from (laundry)".)