She's 20, but besides the point. There is so much stylised movement (also to the genre of the song) in this routine that it's very difficult to miss, in my opinion.
As you brought up her age and gender - Is that one of the things important to you to see connection to the music? Did you also have difficulty finding the connection to the music in for example Brown/Brown's "Nothing else matters" because it's actually a love song and they are siblings, as well as being in their mid-teens when they skated to the music? Would a male skater doing "Black Swan" be difficult to connect to for you?
Does something like
this connect better with you if you know that she lost the Olympic gold with the routine before and almost didn't do this routine because she was so devastated? (The music used is "Valse Triste" - sad Waltz)
Is there music that is impossible to really connect a routine (if in gymnastics, figure skating or dance) to because of its story, or can any character be portrayed by a person and if so, is the age and gender of a person important in portraying a story?