Do Gila woodpeckers eat honeybees? With the sun starting to rise this honeybee hovered over the saguaro blossom for so long that this male craned his neck out and started watching it. If he was thinking about jumping out and snaring it he never did, he stayed at the nest entrance until his mate returned. Which didn’t take long, the pair was pretty amazing to watch, even before sunup they were constantly bringing food back to the nest. I don’t know if they eat honeybees or not but there is an ample supply nearby when the saguaros are blooming.