Try in a major way, to woo somebody with marital trouble
I believe the answer is:
court martial
'try in a major way' is the definition.
'court-martial' can be an answer for 'try' (court-martialling is a kind of trying). I am unsure of the 'in a major way' bit.
'woo somebody with marital trouble' is the wordplay.
'woo somebody with' becomes 'court' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'trouble' indicates anagramming the letters.
'marital' anagrammed gives 'martial'.
'court'+'martial'='COURT-MARTIAL'
'to' acts as a link.
Can you help me to learn more?
(Other definitions for court martial that I've seen before include "Military justice" , "Military tribunal" , "Try, in service" , "Soldiers tried here" , "Military trial" .)