The child labour laws apply to your daughter the same as if she were at school. You can google the law. Hours are restricted until she finishes "Compulsory School Age". Assuming she started school at the "usual" age rather than a year earlier or later, she finishes CSA the last Friday of June 2021. (Presumably the law was set to that age in order to try to keep kids at school until they had done their exams.) After that there are just a few restrictions which continue until the child is 18, most relating to working in physically or morally dodgy settings such as strip clubs or with hazardous materials.
Some parts of the law are clear, e.g. the earliest time of day the child can start work and the maximum hours per day. The complication for home educated kids is that the law refers to "school hours" and "school days". Some years ago, the Dept for Education was asked to clarify how this applied to HE children. After all, we don't have to educate during the same hours as the local schools do. For parents like me (and perhaps you) whose child is doing hands-on learning, there isn't even a clear distinction between education, work, and leisure: kids are learning all the time. DfE responded basically "your guess is as good as ours". Which I believe means that anyone who makes any slightly unusual arrangements (e.g. employing the child on a Wednesday daytime during local school term-time) could potentially find themselves prosecuted and the judge would have to decide how to interpret the law. This has never happened so there is no legal precedent.
So it is a risk, but I would argue that if everyone is acting in good faith and the child is clearly not being exploited then it is a small risk. Prosecutions for child labour violations are few and far between and tend to deal with extreme cases. I allowed my teen to work part-time during the usual "school hours" for several small local firms which did not trouble themselves to find out what their legal obligations were. (They also should have applied for a work permit from the LA before emplying a child, which they did not do.) I was satisfied that the working conditions were safe and not exploitative, and for me this was good enough. I also let my teen do self-employed work when local kids were at school - it's all the same to us. Note that any adult who is aware (or could be expected to be aware) that a child is being employed illegally is potentially liable to prosecution: not only the employer but also coworkers and the child's parents.
Also check the byelaws in your area. Most LAs require employers to obtain work permits for children. Some relax the national law or have additional restrictions which take account of local needs - for example in a farming area the LA might allow children to work longer hours during harvest time only.
If you wanted to be 100% safe then you could use the local state school hours and term-times when interpreting the law.