While the band performing at Le Bataclan when the slaughter began were definitely not Mëtälhëäds (the name "Eagles of Death Metal" seems to be an inside joke) this girl can be.
Although classically trained she plays what is known as "shred" guitar, defined at Wiki as:
"sweep-picked arpeggios, diminished and harmonic minor scales, finger-tapping and whammy-bar abuse"For something that is just pure good, from her YouTube channel a quick cover from 2013: