Nancy I know it is difficult (because I've had those words hurled at me too) but you HAVE to show her that you WILL NOT LET those words strike home. Turn them around and give them back to her. I don't mean, hurl similar insults back, just refuse to accept delivery. By saying, "What sort of person says that?" (I know that's not from your post, it's someone else's) you have accepted delivery, because that statement carries an acknowledgement that those words hurt. Janet's definitely got the idea - by mentioning the inevitability of the therapist, she is also making it clear that she is a mother doing her job - there is absolutely NO ROOM in Janet's statement for a mother backing down in any way.
And as for "Why can't you realise everyone hates you?" The non-ownership answer is, "Because that is a false and misleading statement."
I had a psychopath as a work colleague. I'm not kidding. I've read up on this since I saw a documentary on the subject which made me realise all my workplace traumas had a rational explanation after all - my workmate was a genuine danger. And he said to me once, in front of our boss, "It's no wonder nobody here likes you."
It was unprompted, out of the blue and his way of publicly justifying his own personal dislike of me. It was also his attempt to discredit me with the boss. Because our boss was present I chose to not respond to the statement; which did not hurt me because I knew it to be untrue. Instead, by making that statement, my colleague had accidentally revealed his own feelings and his own motives (not pleasant) which gave me fair warning of problems to come. A thoroughly nasty piece of work he was, only now I was prepared for his tactics. I chose to not accept delivery, although I admit I did leave his 'parcel' on the doorstep. Metaphorically speaking.
I was looking at your most recent post on this thread - all you had done to provoke her to say this was, you told her that she needed to read her English book that she had brought home from school. You phrased it as, "I only said..." You sound like a kid defending herself from scolding parents. Your own child should not be making you so defensive. Because she now has you doing this, you have given her the power to keep going, to keep on being mean. You have given her this power. This means you have the control to take it back again. She will be even nastier as you take control back, but if you refuse to accept delivery, she will soon have to change tactics.
If she says hateful things simply reply with, "You must be feeling very unhappy about yourself, to try to say nasty things about other people."
And in THIS case you could say, "You're trying to deflect your bad feelings about your own procrastination, onto me. You're wasting your time and you haven't got enough to waste. I am a parent, trying to do my job. I have now reminded you - that part of my job is done. Any failure now for you to do your part of the job is now entirely your own responsibility."
And you do not mention the book again. Not specifically. Because she already knows about it. If she says she's bored, or hasn't anything to do, you can remind her of "schoolwork" or say, "You know you have something that needs doing," but be aware - she will probably attack again. I strongly suspect she has been well and truly into the habit for a long time, of using attack to deflect her own mind (and other people) from what she really should be doing in her own life.
A young friend of mine has been doing this for years, because her mother (my best friend) is immensely deflectable (although less so these days). Her mother would ask her to do a job, and daughter would find every excuse in the book to stall and not do it, before finally saying, "You've made me so upset now, I don't ever want to do anything for you - if you hadn't upset me so much I would do it for you."
This is deliberately circular - she has deliberately picked a fight to distract her mother from the real issue - mum has a job she wants daughter to do. And daughter would rather have WWIII than do what is asked, purely on principle. And while ever mother engages in battle, daughter wins. So daughter uses this trick again. And again.
Nancy, she's got you on the ropes. Your self-esteem is rock bottom and she's an out of control teen. You can get help, but I think you need to get some help for you, first, so you can be strong enough to help her. She really sounds like a tough cookie.
Marg