Importantly, the High Court also indicated that the prohibition of civil conscription must be construed widely, to invalidate any law requiring medical practitioners (expressly or by practical compulsion) to work for the Commonwealth government or any Australian State. Simply put, no law in this country can compel any medical service on behalf of the Australian government.
As can be seen, section 51 (xxiiiA) maintains the prohibition of vaccination through any form of government-run health service, indicating that vaccination should only be through voluntary means in accordance with the free communications between medical doctor and patient, which is essential to achieve a high-quality healthcare.
To conclude: the Australian Constitution explicitly prohibits any form of legal compulsion upon the medical profession to carry out any form of medication, including vaccination. In fact, no government, either federal or state, can impose compulsory vaccination in this country, or prevent medical practitioners from remaining entirely free to choose whether or not to provide certain medical services, including vaccination.