Just like our doctors to get in a state (7)
I believe the answer is:
alabama
'state' is the definition.
(I know that Alabama is a state)
'just like our doctors to get in a' is the wordplay.
'just like' becomes 'a la' ('a la' can mean 'in the way of' in French).
'our doctors' becomes 'BMA' (British Medical Association).
'to get in' indicates putting letters inside (the word gets some letters inside).
'bma' going around 'a' is 'bama'.
'ala'+'bama'='ALABAMA'
(Other definitions for alabama that I've seen before include "US state, capital Montgomery" , "where cotton can be produced" , "State of southeastern US" , "US state in which Birmingham is situated" , "Source of cotton" .)