Maetryx here,
I captured that video from a popular music television channel

and put it on a VCD with other videos, so I've seen it a lot. The boyfriend is older than her by quite a number of years. I'm sure the video is about being in an abusive relationship, though I think the bruises and blood are metaphor for his domination and control. The ice represents that she's trapped, and the song melts the ice by acknowledging her plight.
So, if she will admit there is a problem, she can presumably free herself from the abusive relationship.