There are loads of studies that suggest that during teenage years the brain starts evolving again, at a similar rate to when they are toddlers. Their decision making abilities are not fully developed and so their actions are often regrettable.
Now that only helps when you are calm and with hind sight can tell yourself that it wasn't her fault, that she is just a typical teenager. That she doesn't hate you, you aren't failing her, that this really is the exact same thing that happens in every other house up and down the country.
I don't think it is a necessarily bad thing that she didn't respond. Give it a little while for what you have said to sink in.
Also her telling you "i don't know" is probably not just to be facetious, she probably doesn't know. She just doesn't have the emotional maturity to understand what she is doing. and if she does she understand she doesn't know what to do about it.
I think with teenagers, the best way to deal with them is to treat them similarly to the way you would with a toddler.
If they have a tantrum, the worst thing you can do is to engage with it.
Say "i am not arguing with you. we will talk when you have calmed down"
then if you can, remove yourself.
And every now and then, when things are less aggressive just say "i love you" for no apparent reason. half way through eastenders or something.
Don't expect a big conversation or for any response other than a raised eyebrow and grunt.
I am also a big fan of when they are stomping up to their bedroom, yelling about how evil a mother you are and how much they hate you and blah blah poor hard done by blah blah wishes she was adopted etc etc you call up to them, when they inevitably shout "what" you say, in your sweetest most pleasant voice "I love you DD" Nothing more.
It is very easy to slip into a cycle where the only time you speak is to argue. This way you can let her have a her vent and whilst you aren't engaging with that you are telling her that despite her anger and her behaviour, you still love her. It won#t seem like it most times but it does help.
not least to lift your own mood.