Glue Trap? I do not know what this is. I am guessing it is a piece of paper with stickyness on one side for catching flies/ants/spiders.
The big killers for spiders here are Red Back and Funnel Web. White tails are common, but I don't think they are too
deadly. Trap door, black house, mouse spiders and huntsman can all give a nasty bite.
Huntsman are probably the most common 'large' spider around these parts, we used to have one that lived in the roof when I was a child. Big as your face.
When I lived in Papua New Guinea I accidentaly walked into one of these