We have a pear tree full of bees and they love to hang out under it and eat the fallen pears. You think that's a sting?
When I was a kid living in Irving, Texas, we had to contend with scorpions that would occasionally get in the house. They liked to crawl into shoes. If we forgot to bang and shake out our shoes, we would get stung.
Mom would take a bottle of ammonia and place the mouth of it over the sting and upend it. It worked great. We used ammonia for all manner of bee, wasp, mosquito, and various other stings and bites. It is effective with them all.
It's too late now to counteract the venom, but in the future, you could pour some ammonia in a bowl and put the bird's foot in that for a few seconds. Might work.
A few years ago, I was talking to a friend. Her little daughter, about 4, was covered with sores. I asked about it. She said it was mosquito bites that she scratched because they itched. The girl loved being outside and the mosquitoes were particularly attracted to her. I told her about ammonia and suggested she slather the child with it each evening when she came in for the night. When I spoke to her a couple of weeks later, she said the girl no longer scratched the "itchies" and all her sores were gone. YEA!
John