This is "star" in the context of talking about celebrities. My impression from talking to one Australian is that the word has a negative meaning to refer to a "prima donna" -- someone who demands special treatment, etc.
In American English, unless used ironically, it is a positive word just describing an exceptionally talented and famous person (especially in sports or for performers)
When I spoke to the Australian it seemed clear that he meant it in the prima donna sense and he felt that it had no "non-ironic" usage- the word is always negative in Australia.
Is this the case?