The most common and most likely answer to this crossword clue is the 9 letter word FREMANTLE
I've seen this crossword clue in Financial Times
F
R
E
M
A
N
T
L
E
Buddy explains!
The straight part
We know that "Doctor from Australia" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case doctor from australia = fremantle.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.