If you want to tame one, the easiest way is to get a dire bear and break the nest, because they are immune to bees. Use it to break the nest, then when the nest beaks, make sure you have full ghille armor and bug repellent, and tame it with simple kibble. You can then go to the bee and press the 'aquire nest' button, and it will give you a bees nest. You can place this on any natural ground, but no human made floors. Put rare flowers into it, and it will produce giant bee honey over time. Rare flowers can be harvested from plants in the swamps across the island, but beware of the creatures that dwell there. When you go into your bees nest to gather honey, you will get the bee effect and start taking damadge, even though it is your own bees nest.
ALWAYS break the hive with ranged attacks. If you choose to melee it,drones will continuously spawn from it infinitely, and they will repair the hive, so best to shoot it down and kill all the drones before attempting a tame. Oh, and the queen will spawn more drones periodically, so bee careful.
Easiest way : go to ab then look for the hives , the hives stack so destroy all hives with a mana or whichever tame you have then the bee will be stuck in the hive , what you can do is is get an angle on the bee and easy tame while its sitting
When following the Giant Queen Bee its good to have a full set of ghillie armor, bug repellant and for some reason crouching seems to put you slightly below the drones hit range, as long as you keep moving that is. I used this tactic earlier today to tame my first queen and it worked very well