I think, respectfully, that you're looking at this in an unhelpful way. Your question is "how can you live with someone who hates you?" when, if I were in your situation, I'd be asking "is my DD okay?".
You admitted to smacking her. How often do you discipline her physically?
You mentioned "finding" the underwear. How often do you go through things in her room? Do you give her privacy?
She is your eldest and therefore you'll be figuring out how to handle the teen years for the first time. It won't be plain sailing. But it sounds like you're trying to control her, by smacking her, by choosing her clothes, at a time when she wants independence.
I used to say I wanted to live with my best friend's family because my mum smacked me and got angry. She also went through my belongings. I ended up with clinical depression. My mum always made it all about her, lashing out at me for lashing out at her, compounding the issue. There's a chance she might have early signs of mental health problems at her age; that's when mine kicked in. Or maybe the family environment is dysfunctional and you're unable to see it.
Certainly, seeing red and smacking her for what she said is a big overreaction. In the grand scheme of things, it wasn't that bad. A lot of teenagers say they wish they'd never been born and they're running away. You need to work on yourself and be prepared to handle things like that, without getting physical and further undermining any trust or relationship you might have.
My mum always told me that I hated her for no good reason and wouldn't look at what I was trying to say to her. Sometimes you have to get beyond "poor me, my daughter hates me, it must be something about her because everyone else loves me" and really be prepared to admit fault and work on the problems. Blaming an 11 year old seems inappropriate.