Haven't tested but cactus broth is supposed to allow you to sneak past her. If wanting to kill her though bring shields and some good shotguns. One guy with flame arrows will help add a bit more dps
3 or 4 people with shotties and shields. Have one guy tank the queen for 5 hits or so while everyone else shoots her. Then have some one trade agro with them and it'll die soon after that. A cheap apprentice shield is good to take. Med brews and burgers and spare flak set isn't a bad idea