I have been stung by wasps a few times and the sting itself hurts like [censored], I get a bit of swelling around the sting, and then after 15-20 minutes it's all gone...getting a mosquito or blackfly bite is a bigger deal for me than a wasp sting.
I guess my daughter inherited that trait from me, when she was little she loved to go get the mail by herself and I would let her do it as our street is pretty quiet. She was doing this one Saturday and started screaming bloody murder, I was working in the woods and it probably took me 15 seconds to run over to her. I was horrified to see she was being swarmed by yellowjackets, they had built a nest in the gap underneath the mailbox...I picked her up and ran back to the house, ready to call 911 and/or take her to the hospital immediately. She stopped crying pretty quickly and only had minor bumps where she had been stung...in less than half an hour, she was outside playing again with no ill effects or swelling.
We also get the big whitefaced hornets around our house and I'd bet a sting from one of those would be a bigger deal for either one of us...