I'd be killing that thing. I had a big one (the butt end of it a little bigger around than a U.S. nickel) under the overhanging edge of my pool where my late golden retriever Scarlett loved swimming. It was dead momentarily.
We see these so much we really don't care about me they are always under our horses salt block dish we don't think of them as deadly spiders anymore we just see them as something you don't touch I heard the bite is very painful though