The only thin ad light gaming notebook (2-2.1kg)around now are only HP Omen (860m) and Asus G501 (960m). I would suggest HP Omen even tho using a older version gpu (performance around 10% less than 960m). HP Omen should be more suitable for a girl due to it's premium look and quality. Asus G501 may look decent but now got issue with their heat dissipation and of course, not-so-ok after sales service.

The rest of the notebook are good but heavier with weight 2.4kg and above (Lenovo Y50, Acer Vnitro, Illegear Z5, etc), price range about the same.