Gosh - what the Aussies call a big-headed Britisher! (6)
I believe the answer is:
blimey
'gosh what the aussies call a' is the definition.
I can't tell whether this definition defines the answer.
'big-headed britisher' is the wordplay.
'big-headed' becomes 'b' (this might be a standard abbreviation I've not previously seen).
'britisher' becomes 'limey' (limey is a kind of britisher).
'b'+'limey'='BLIMEY'
Can you help me to learn more?
(Other definitions for blimey that I've seen before include "well!" , "Oath" , "Golly gosh!" , "Surprised expression" , "Good gracious me!" .)