He makes her fall, but he falls too, so did he actually kill her? I can't help thinking about the rest of the story and especially "thesphinx". The rest of the story seems completely unrelated. The shrink in tCoM says he don’t recall murdering her, but he do recall the scene you play, perhaps there is more to it.
 "Zombotron 2"){kind=icon}
 "You Find Yourself In A Room"){kind=icon}
 "The Company of Myself"){kind=icon}
 "Idle Tree"){kind=icon}
 "Fixation"){kind=icon}