Considering her solo work and personal life, I would say that she could be infj. That need for identity, feeling of being sort of outsider on the one side, but strong sensibility for other person. Some of her songs are like parts of this forum in music.
When she talk, she pauses and often goes with her eyes around, in air, at sides...It is way I usually talk when I want to say something important to me..And from INFJ videos I saw, it could be something typical.