Senior officer agreed with little hesitation to provide appliance (6)
I believe the answer is:
cooker
'appliance' is the definition.
'senior officer agreed with little hesitation' is the wordplay.
'senior officer' becomes 'co' (commanding officer).
'agreed' becomes 'ok' (e.g. when responding to offer).
'with' says to put letters next to each other.
'little hesitation' becomes 'er'.
'co'+'ok'+'er'='COOKER'
'to provide' acts as a link.
(Other definitions for cooker that I've seen before include "Kitchen appliance" , "Kind of apple" , "Item of kitchen equipment" , "Oven" , "Type of apple; stove" .)