"Never" is a long time and teenagers are so emotional and dramatic!
However, this age they do need their friends or at least some friends.. perhaps not the same ones she has now. Give her 3 months and they may not even be friends anymore because teen girls are unpredictable.
As for homeschooling. I don't think I've ever heard anyone say they regretted homeschooling. Perhaps you do the "trial' period with your daughter. Say.. give her a "we'll try this until Christmas break" (or whatever you think is reasonble) and then we'll re-evaluate the situation."
(I personally would not tell her "then if you don't like it you can go back to public school" because then she'll set herself up to NOT like it just to get to go back.)
Let this decision be the adults in the home's decision but with her input as long as she's respectful.
Then, get her busy with doing all the things she's missed because of school. Library, field trips to cool places, taking dual classes at a community college, time to sit and study what she's really interested in learning and not just what she's told to learn for Friday's test.
What does she like to do? What catches her interest and gets her excited?
Is it painting? Is it ballet? Is it Botany? Geography?
This is the time to give her time to explore these subjects further. Time to really READ good books not just assigned school books or text books.
I could go on and on but I'm sure others here will have better advice than I do!