Green’s Dictionary of Slang

(Aus.) a sandstorm.

1928		Dly Standard (Brisbane) 16 Oct. 4/3: Living conditions in ths West were very unpleasant, due to high winds and dust-storms - ‘Bedourie Showers’ - as they were called.
1928		Nthn Miner (Charters Towers) 14 Nov. 7/7: Last week’s excessive heat at last brough a little relief on Saturday afternoon when a real ‘Bedourie shower’ enveloped the town in an impenetrable pall for half an hour until a fairly heavy downpour beat the dust.
1934		Central Qld Herald (Rockhampton, Qld) 20 Sept. 7/7: During the week there was a ‘Bedourie’ shower, with local variations in the shape of whirlwinds.
1950		G. Farwell Land of Mirage 110: We knew that if the wind kept up, we would have a real black storm next day, what was called euphemistically in these parts a Bedourie shower.