Spiders bite with their fangs, much like vampires bite with their fangs, they don't sting. I might call the tarantula "hair" that makes you itch a sting, but I would feel a bit silly calling it that.
They bite (and suck) with their (elongated and specialized) mouthparts. Insects don’t have noses (they breathe through their skin and smell primarily with their antennae).
Oh I thought I couldn't hate them anymore and I learn this. My leg currently has large hives on it from multiple bites, the antihistamines I have are doing bugger all.
Not sure about spiders. Are their fangs considered to be teeth? Platypus have venomous spurs, not sure what that’s called.