Sleep Paralysis
One of the things we should admit about Edward was his trait of creepiness whenever it came to him fighting for Bella’s love in the first movie. It’s one of those things you can actually understand how creepy he was after rewatching the movie. If you haven’t caught it, try and watch the movie again. Although Bella didn’t seem to mind it, try thinking about someone stalking you. Feels weird, right?
Have you experienced sleep paralysis? It’s basically you half-awake experiencing the feeling of someone watching over you but you can’t move yourself. Now, think of that “someone” as Edward Cullen, probably would be less creepy since he would rather recite romantic poetry than stare you into the void.