Either use a wyvern to quickly destroy nest or use spyglass and argent to whistle attack while sat out of drone range. Once nest is destroyed make sure your ghillie is on and your bug repellent is active, whistle tame passive then crouch down and stalk your queen while feeding it rare flowers. Crouching works well for staying out of drone attack range, the drones die after so long and that is your window to ram flowers down the queen's throat. Happy hunting.
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.