My children have been home educated from the start. Two are now high school age, the other is key stage 2 age.
I really want to say that home educating long term is absolutely nothing like the forced homeschooling in covid. It is quite irritating tbh that people continue to think they had a taste of home educating. During that time we lost the freedom that comes with home education, we had to stay at home, there were no groups, no museums, galleries, trips to castles or parks. As home educators we aren’t forced to stay at home, not seeing anyone else outside of our immediate family with only an hour a day for a walk with the added financial pressures of furlough, concerns about a pandemic and for many having to work and look after children at the same time.
To address some of your concerns.
First up, not all home educators are anti vax, hippies. That is a very outdated stereotype and while there are of course some people like that. I have always found it to be a diverse community. Obviously this will partly depend on the area you live in, as some areas are more diverse than others(but this would be similar in a school setting too).
Socially, unless you are planning to not mix with anyone else the. You will find that your daughter does experience fall outs, peer pressure, friendships etc. My dc have been going to home Ed groups since they were toddlers, seeing the same children and growing up with them. Outside of home ed groups they go to hobby groups and play sports for clubs so they have friends who go to school too.
Academically home Ed children can achieve just as well or better than schooled children if they are capable. School simply can’t replicate a personalised education in the way that you can at home. As an example from this week I have spent several hours one to one with one of my dc working on some maths that they wanted to crack but were finding hard, it (understandably) wouldn’t be possible to do that in a classroom, we can take as long as we need or take a break and come back to it in a few weeks or months if needed. Equally if they pick something up easily then we don’t have to spend x amount of time going over it with the rest of the class, we can either make it more challenging or move on to something else (obviously depending on what it is).
You are free to home educate however you choose, many find child led is best, some prefer structure but it’s not set in stone and you can see how it evolves. Equally the option of school will always be there at some point.