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I have never wanted to intentionally kill a spider. Even as a child. I normally try to catch them in something and put them out if it distresses someone.
Same here... and my youngest daughter is terrified of them but she will not kill them - just whimpers and asks someone else to remove them.
I think it is because my Mum never killed spiders and instilled in me a respect for all living creatures. We had a huge house spider who she called "Charlie". And because she gave it a name, it humanised it for me and thus I was never afraid of it.
Actually I think they can be beautiful and the webs that you can see in the morning dew in gardens are phenomenal.