"Dude, did you see that??"
"What, the hair? Yeah man, what a shame. She was cute otherwise, and pretty cool too, but that shit was creepy."
I've always been shocked that girls don't do something about it on their own initiative. It occurred to me that they might not realize it is unattractive - or maybe that they don't think it is noticeable. So if you have more hair than the average girl, get rid of it. I am not entirely sure what the best methods are, but it needs to be taken care of: wax it, get it removed by laser, or at very least, bleach it.
Below is a picture that illustrates the upper limit of what is acceptable. If you have less lip hair than this, you can probably get away with it unnoticed. If you have this much hair or more, take care of it.