Crossword Genius

To win my heart Rex gets a spearthrower (7)

Ross

I believe the answer is:

woomera

I'm a little stuck... Click here to teach me more about this clue!

'spearthrower' is the definition.
I can't tell whether this defines the answer.

'to win my heart rex gets a' is the wordplay.
I cannot really understand how this works, but
'win' could be 'w' (abbreviation in sport) and 'w' is present in the answer.
'rex' could be 'r' (abbreviation e.g. GR=George Rex, King George) and 'r' is found within the answer.
'a' is within the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for woomera that I've seen before include "Aborigine spear stick" , "spear-launcher" , "stick with extra ooph!" , "South Australian town" , "Missile test site in South Australia" .)

I've seen this clue in the Sydney Morning Herald.
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