From which table are you getting those numbers?
4D2A,"Multicore 70C thermoplastic (PVC) insulated and thermosetting insulated cables, non-armoured (copper conductors)", from the columns for "1 two-core cable (with or without protective conductor) single-phase a.c. or d.c.). Methods 11, 1, and 4.
I wasn't really trying to get into a detailed (and very UK-centric) discussion of cable types and ratings but it does seem to have drifted that way. BS 1761 gives a whole load of pre-calculated ratings with a generous safety factor but nothing stops anyone from doing the thermal calculations themselves if the situation justifies it. You can then get an answer for all kinds of odd questions such as this real situation I hit recently: "A three core 10 mm
2 PVC-insulated SWA cable is direct-buried. two cores are paralleled for neutral and the third used for live. What is it's current rating?". There definitely isn't a table for that one.
Coming back to the OP's question it's a 25% overload and would likely be fine for tens of minutes at least. I personally would try it and see if anything (other than the iron) gets warm. Given that the iron almost certainly regulates temperature, probably by cycling on/off around some setpoint, it's likely that once warmed up its average load is under a kilowatt and it would just be fine. Failing that a 16A circuit with whatever cables/connector the relevant Australian standards require for such things.