You'd be surprised. Advantage of bullets over arrows is that they're goin' way faster. Where you might not have enough power to pierce that kinda hide with an arrow, bullet? No problem. But, yeah, not likely to kill her outright or anything unless you're a sharpshooter.

[ ...He is not. ]

I'll probably have to don my armor when fightin' her, I know... But maybe a bullet'll at least surprise her, considerin' how rare they are here.