I dont think you have anything to worry about. Usually tropical depressions form in the 05S to 20S lattitudes and then if the conditions are right form into tropical cyclones, also this almost always happens in the southern hemisphere between about November and April and within an area which is called the monsoon trough. Incidentally a cyclone is the opposite of a high pressure system here in the southern hemisphere which is called an anticyclone. Once a cyclone forms in these lattitudes, and very much dependent upon atmospheric conditions, they tend to move towards the south and as they reach cooler water conditions, weaken into depressions. These systems require warm water to feed them and obviously as they move south, they lose this infeed and weaken into what we southerners know as low pressure systems. And these can be quite devatastating in their own right, but usually not anywhere near as powerful as a tropical cyclone. As usual there can be exceptions to the rule, but this is very rare. Any meteorologist out there will I feel confirm this. BTW we regularly get gutsy "cyclones' in the great Australian Bight in winter which can be quite gutsy in their own right, but because they dont originate in the tropical lattitudes they are not known as "tropical cyclones" I hope I am making some sense here, basically a cyclone is a low pressure system as opposed to a high pressure system being called an anitcyclone. From memory a tropical low is not categorised into a tropical cyclone until the central pressure falls below 1000hectopascals and the sustained wind speed near the centre of the depression is above 30kts.
This is an example of a tropical cyclone in the southern lattitudes.
http://www.bom.gov.au/cgi-bin/wrap_fwo.pl?IDW24100.txt
This is current for WA and could possibly be devastating if it makes landfall near a populated community.
check the latest satellite information on this system compared to the East coast.
http://www.bom.gov.au/gms/IDE00035.latest.shtml