Can I just mention that where you are in the UK will make a difference in what you can charge. MrSmith, I believe is in London? If so his rate is justified. If like me you are in Leeds/north of England it’s a different story.
As a new/unknown photographer who is getting her name out she might only get 2-300 per day.
I know plenty of freelance photographers working directly for clients (no agency involved) who have a base day rate of 300-1000 per day. It all depends on the client and what their images are worth to them. You have to be pretty savvy. Repeat work could mean a lower price, if the work is easy.
As MrSmith said she would be better off dealing with businesses directly. Way more lucrative.
Something else I would advise your daughter to do is to approach local commercial studios and see if they offer work experience or see if they need an assistant. It won’t pay much but it would give her a good insight into the way things work. She might even pick up some experience of lighting with flash. It’s one thing knowing how to use available light but to use flash effectively is a different thing all together.