MOST but not all chickens won't eat bees. In fact the one in my pics had a bee chasing her and we were ROFL at her trying to get away. It is so easy to direct the bees to keep them above heads.
My EE must not be the brightest in the bunch. I can't even count how many fuzzy bumblebees she ate. She was quick, too. Got them every time. Thankfully, the Rhododendrons are done blooming, deadheaded and pruned back. Now the bees can move onto flowers that are out of my EEs reach. I never saw my RIR or Brahma eat any.