Australian citizens visiting the UK as tourists are eligible to use the eGates, so your daughter may breeze through Immigration with no questions asked. However, if for any reason there’s a problem (her passport is rejected, random selection, an out-of-order eGate, big queues to use them, etc etc), then she will have a face-to-face landing interview, which may or may not prove problematic.
From Gov.uk
You must provide a valid passport or travel document. Your passport should be valid for the whole of your stay in the UK.
You may also be asked to prove that:
- you’re visiting for tourism
- you’re able to support yourself and your dependents during your trip (or have funding from someone else to support you)
- you’ve arranged accommodation for your stay
- you’re able to pay for your return or onward journey (or have funding from someone else)
- you’ll leave the UK at the end of your visit
The standard advice for non-visa nationals to avoid a potentially unpleasant situation (including the possibility of being denied entry), is to carry some evidence that proves all of the above in case itsit’s needed. The easiest evidence proving intention to leave is a return ticket, but it could include, for example, a credit / bank card with sufficient available funds to buy one.