Search Results: he barely talks to me now

Me and my girlfriend went drinking with her brother and his friends tonight everything went great until we started to go our separate ways home. My girlfriend got extremely drunk and in the past has severely hurt herself trying to make it back home. So I was walking her home and she's mad at me for mistaking a picture of a girl from a porno in a meme that I could barely even see properly because it was minimised and during the evening I tried to apologise the whole time. But now she wants another after ignoring them the whole evening. So I say no and in turn she refuses to go home until she gets it, even going so far as to sit down on the floor like a child when I said "we'll talk about it tomorrow just go home" so I warn her that if she doesn't want to co-operate I'll just carry her home, obviously she doesn't and is still demanding an apology so I pick her up and she starts screaming telling me to get my hands off of her so I do and she walks beside me instead shouting her head off saying that I'm worse than her ex who never put his hands on her. (He raped her so how she figures that I don't know) Anyway at this point I'm very agitated and I'm having to use threats of telling her family to come get her to get her to walk home at all but I finally get her to the door and she asks again for an apology to which I simply say I gave you one, now go to bed and think about everything you've said and done in the morning.
So my question is, was I wrong in the actions I took to get her home safe to her family?