Hair is very difficult to extract, so here's what I do, it's time-consuming and requires some amount of work, but the result is pretty nice. Take the pen tool and select path only (no fill). Then you just start drawing (tracing) around the shape or in this case womans sihouette. It takes some time, but the pen tool gives you very nice non-jagged edges. When tracing the hair, just trace the larger hair groups (don't know what their actually called, but hopefully you understand, don't bother with the small hairs).
After you're finished and have deleted the BG you may notice that the hair looks way too smooth. Just take the 'smudge tool' and set it to a couple pixels wide and strength to something like 80-95% (depending on how long and visible hairs you want). Then just paint (smudge) some hairs on the edges of the smooth-hair. The result may look like the linked image below, if she uses conditioner, it may not have as many split-ends, but thats up to you. Hopefully you get som good results.
The Werewolf She was actually a brunette when i started. I also used the technique I explained on the hair roots on the forehead.