Just jumping on to say none of this is your fault - some kids are just like this, one of mine was and I totally relate to every word you wrote.
My eldest daughter was nothing like that but my youngest was challenging almost from birth.
youngest was always “strong willed” and disregarded pretty much any boundary we tried to set. She got worse around 9 and we experienced all the upsetting behaviour you described. Like you, I was in tears most days and felt utterly useless as a mother. If she saw me upset she was scathing - told me I was pathetic and needy. She wouldn’t spend time with us, eat with us or talk to us, unless she wanted something. She refused counselling.
People who have not experienced it often imply your boundaries, threats or punishments are not strong enough, but we tried every technique out there - none worked. Having said that, I would never have threatened to kick her out of her home - because I would have had to follow it through, and she would not have come home again. She dropped out of college and often wouldn’t get out of bed all day. COVID made things worse.
Eventually, I tried to overlook the worst behaviour, kept trying to talk to her each day (was mostly rejected) and took every opportunity to praise her and tell her we love her.
We had the same issue with food as you - if we didn’t cook for her, she simply wouldn’t eat - and she is VERY slim.
OP I am sure this is a phase which will pass. You are in the thick of it now and can’t see an end. Things started to improve with my daughter when she was around 17. It has been (still is) a very slow process, but she is now a LOT better - she is now 19, drives, has an apprenticeship and friends and is getting increasingly communicative with us. She is occasionally affectionate, which means so much!
I don’t know if it was hormones or life which made her temporarily vile, but she is definitely coming out the other side, and I think your daughter will too. Hang on in there OP. Do not blame yourself. Start each day afresh with your daughter. There is hope. Big hugs.