Location of Comet C/2011 W3 Lovejoy at 4:54 am on Wednesday 21 December (an hour before sunrise) as seen from Adelaide, similar views should be seen elsewhere in Australia at equivalent local times. Although close to the horizon, a 5 degree tail should stick up past the bright star above the comets position (click to embiggen).
I had no luck seeing Comet C/2011 W3 Lovejoy this morning, clouds of course. But two groups did. Peter Sayers in Tasmania (Image via Space Weather) could see it as a just unaided eye object in the twilight, while Vello Tabur couldn't see it in binoculars or unaided eye, but a five degree tail turned up in his DSLR shots.
I'll have another go this morning, hopefully the weather will be kinder, and I will be forearmed with knowledge of comet Lovejoys dimness.