That's excactly what happened. If you noticed, Uzi started to change at the end of the ep 1, signifying further with the yellow eyes that the nanites did something to her.. It might've been N's saliva that did it, though.
THIS IS JUST MY THEORY BUT I THINK WHEN UZI GOT STABBED BY N'S TAIL THE NANITES MESSED UP HER CODE GIVING HER THE MURDER DRONES MURDEROUS INTENT; WHAT DO YOU THINK?