Huntsman Spider, but we have always known them as the rainbringers.
They're supposedly quite poisonous, but their mandibles are not strong enough to bite us (or so I'm told.)
I find Rain Spiders to be quite chilled-out characters, and they are not aggressive if handled gently and calmly. We frequently let them hang around the house for ages after they've found their way in. The only compelling reason to move them back outside is if they're in a bad place - somewhere where they're likely to suffer injury or accidental death - like the inside of door jambs. Or if we have spider-nervous visitors. Hi, Dad. Rain Spiders grow quite large - as big as my palm, in some cases, if you include the span of their legs.
They're a more reliable forecaster of rain than the local weather services, and welcome in my house anytime! It also helps that they are voracious predators on moths and Christmas Beetles (and, probably, the tribe of Geckos that live in the roof and walls.)
Perhaps this one pictured above got a bit confused by the Butterfly ornament hanging on the wall?