The bee did not get me, but later that summer while mowing our lawn, a wasp did get me - it was painful but no allergic reaction.
The one time I had the reaction I had been riding a motorcycle and something stung me in the neck and luckily I stopped soon after, saw what my arms and face looked like, got back on the motorcycle, drove to the emergency room - which had a long line on a Saturday night.
They loooked at me when I joined the line, said "Hey, you - come up here" and took my blood pressure. It was crazy low and they rushed to give me steroids or whatever they do.
Doctor later said that incident may have gotten venom directly in neck artery, caused the reaction - but that may have triggered development of antibodies.