Hi gnilwas,
The default method of taxation in the UK, is the 'arising' basis on the individual's world-wide income and capital gains, whether they remit the income or capital gains to the UK or not.
This means that tax is chargeable on all taxable income and capital gains in the tax year in which the income or capital gain arises.
This is the only method of calculation tax liability for the majority of people, the UK.
For those who meet the criteria at:
Guidance note for residence, domicile and the remittance basis: RDR1 Updated 25 April 2023
They have the option to apply the remittance basis of taxation instead.
If you choose not to use the remittance basis or are unable to use it, you would be required to declare your foreign property income in a Self Assessment tax return.
You would be able to claim a Foreign Tax Credit of up to 100% of any tax paid in Austrailia on the property income.
Thank you.