A few PP have asked, but can I ask why you're homeschooling? It works brilliantly in many cases, such as for neurodivergent children, but some children may be much more suited for a normal school environment.
As a former educator, kids start listening to their parents a lot less at 5+ years old — but begin to be very keen on copying certain other people! All too often kids refuse to do a certain thing at home, then they go to school and see all their little friends doing it at school, and they also really, really want to impress the nice teachers Ms Brown and Mr White. To their parents' amazement, they go home and magically do it. I saw this happen literally every day, right in front of my eyes.
As you say, she's a doll with other adults. Again, what I saw every single day as a former educator, and what all research shows, is that peer learning/modelling is a HUGE part of child development. So is exposure to other figures of authority (and please don't shudder at this word, what I mean is anyone in a position to offer guidance and nurturing).
It's extremely well-documented in the research that as kids move into middle childhood (6-8 years old), they start seeking independence from their family, and wanting a lot more contact with the larger world. No matter how diverse and structured your homeschooling curriculum is, peer and other exposure is very important for motivation and development. If you're not keen to let go of the homeschooling, could you maybe put a lot more of an emphasis on social learning (with kids her age) in the homeschool curriculum? (Also, this might not be the case, but if she's not already well-socialised with good SEL skills, it may take quite a bit of adjustment/settling in, but it's very worth it.)