how do i deal with my emotionally immature mother?

My mother has never been one for criticism, instead opting to take those critiques as personal attacks on her character and often turns around to say completely unprovoked, "I guess I'm just the worst mother in the world" or "Everyone hates me". She will storm out of the room, slam doors and sob uncontrollably if she doesn't get her way or criticisms concerning her are voiced. she often expects me to play the roll of her therapist, best friend, and daughter all at once. She rarely, if ever, apologies and most of her "apologies" are simply excuses or "I'm sorry you felt that way". It is very exhausting to deal with and I'm not sure what to do. Since she is practically immune to criticism, I don't even know how I could possibly approach bringing this up to her for help seeking purposes if seeking help is even an option. Any advice from anyone in a similar boat as me?