Someone who does not obsessively try to see how many "friends" they can acquire on websites with a "friending feature" (such as MySpace, Facebook, LiveJournal, Red vs Blue and all other websites with such a function.)
"I pride myself in nonfriendwhoreyness!" said the non-friendwhore.
The act of neither confirming nor ignoring a facebook friend request, thereby leaving the friend request that is "awaiting confirmation" hovering in your friend request box indefinitely, leaving the requester completely powerless.
Janie: Hey, did you ever respond to that friend request from Kathleen?
Elena: No way! I totally nonfriended her. She can keep waiting.
Janie: Nonfriending is the only way to go with that crazy bitch. You wouldn't want her to facestalk you anyways.