Hello Avery,
Have you tried talking to her about this? I have found that though it's difficult to tell a therapist that s/he has the wrong end of the stick, it can be enormously helpful--both to establishing trust and to taking the work where it needs to go.
It's possible that being a therapist virtually guarantees a certain arrogance--that is, the therapist is the professional and therefore "knows best" what should be talked about. But that ain't necessarily so. You are the consumer of this service, and you know whether you leave the session feeling full or empty. If the therapist has the wrong agenda, it will not help you. You will waste time and money and end up very confused. I speak from experience.
You don't say whether you feel comfortable with this therapist, whether you think she is empathetic and intelligent...all the things that make for a good therapeutic relationship. So I don't know how you feel about her other than that you think she's mistaken. It sounds as though addiction is very much in her comfort zone. She can deal with the fact that you may be the child of an alcoholic, but maybe it's a lot more difficult for her to feel competent dealing with the child of a narcissist. That, of course, is just a guess.
I can't say whether you should "break up" with her, but I will say that if you talk to her about this and she is either unwilling to hear you or unable to shift her focus to your concerns, then you should get out of the relationship fast. She simply may not be able to help you, and that's nothing to be ashamed of.
Best of luck.
Joyce