E.B.
Online, or virtual, schools, saved my daughter's education, and our sanity. And her self-esteem.
Due to multiple medical conditions, public school was a complete failure. Her diagnoses are rare, and the school staff refused to cooperate with the doctors.
When she first started in the online school, the student population consisted mostly of kids with disabilities, kids who were recovering from surgery, kids who lived in remote areas, kids whose parents shared custody but who lived in different school districts, and elite athletes who traveled for competitions and who spent hours practicing their sport.
My daughter took only half-course loads, so high school took her almost 7 years. By her fifth year, we noticed that the student population had changed. There were more and more kids who were in the online school due to bullying, rejection, stress and other social and emotional problems. At the online school, they were met with encouragement, friendship and support. My daughter was given a 504 plan, and the chance to succeed.
I think there are several things you don't run away from, like your family, a job you've consciously committed to, or a team, and education. But I don't think that choosing an online school over public school, or private over public, or religious over secular, or the other way around, is quitting or running away. If your daughter wanted to drop out, that would not be acceptable. That would be running away. She's coming up with a valid plan to further her education in a very mature way. I don't think that's running away. I think that's making a better plan.
Make sure that both she and you understand that online schools require participation, involvement, and you don't just sit and watch videos. You'll have to be willing to check in with the school, as most good online schools want parent involvement.
I encourage you to let her pursue this. It sounds like she needs some comfort and security right now, and public schools can be anything but.