just make sure that when you have it plugged in, the cord isn't anywhere that the cord can get tripped over or something, and it will be fine. my cord has always been a little loose along with the screen...and mine has worked fine for as long as i've had it.
edit/ also dont' worry about being paranoid, when i build a new computer i always triple check everything and stuff because its new. but after a while you'll just get used to the stuff and you wont be as paranoid. trust me.