PhD Application (in Australia): no confirmation email I have applied (on February 17th 2020, GMT +1) for a PhD position (in Australia) starting the latest in July (so, no application deadline). It has now (March 7th 2020) been nearly three weeks ago since I emailed my application. I did not receive any confirmation email of receipt from the professor. It is something I really loathe, because I do not know what the status of my application is. Contrary, I can image that reading applications and making inquiries with the funding organisation in respect to the applications can take up a lot of time. Thus, I do not want to appear impatient. I wonder, however, if further patience is prudent. In short, should I email the professor about the status of my application or should I wait a few more weeks?

Thanks!
It is fair to enquire about the status of the application. If it is done via direct email to the professor, which is rare, there may well be no confirmation. The people involved will email if the application is to progress further.

If you are interested in a PhD, take a look at www.jobs.ac.uk. There are many thousands of PhD places on there across Europe to apply for.
There is a huge amount of funding for this academic stage, not necessarily requiring the best marks, which may seem surprising but it is true. There are also equivalent sites in other regions.

Also, there is no reason to assume you are not still in consideration. I once emailed and it took more than two months to receive an interview offer. Besides this, it regularly takes many applications before one of them comes back with an offer of an interview.