I don't have facebook so sadly cannot play, my girlfriend does but I don't see any upside is showing this to her :)

from reading how it works, it seems that it might be a good idea to offer some hints to bias the match, possibly with location or something that doesn't identify you but hints at you. 'Someone in your state adores you...' that kind of thing. Find something in common, analyze 'likes' for example. 'Someone who also liked Twilight adores you...'