Who is the Australian shire president or mayor?

There is no such title as "shire president" or "mayor" in Australia. Each state and territory of Australia has its own system of local government, so the titles of elected officials vary.

For example, in Victoria, the head of a shire is called a "shire council president", while in New South Wales, the head of a municipality is called a "mayor".

In summary, the title of the elected official who leads a local government area in Australia varies depending on the state or territory. It can be shire council president, mayor, or another designated title.