Urgent information put through door (7)
I believe the answer is:
exigent
'urgent' is the definition.
(synonyms)
'information put through door' is the wordplay.
'information' becomes 'gen' (gen can informally mean information).
'put through' is an insertion indicator.
'door' becomes 'exit' (I've seen this in another clue).
'gen' going within 'exit' is 'EXIGENT'.
(Other definitions for exigent that I've seen before include "Pressing and urgent" , "Urgent and taxing" , "Demanding immediate attention" , "Pressing; demanding" , "Exacting, requiring much" .)