PhD Application (in Australia): no confirmation email
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.