I work at the Northern General Hospital in Sheffield. We get 6th form students in from time to time. It’s a centralised process and I don’t think I’m in a position to help personally, but I found this link.
http://www.sth.nhs.uk/work-for-us/work-experience
Having been through the process (15 years ago! Where has the time gone?), I would say that the experience program is worth doing. Mainly as a bit of insight (so your daughter can check it’s something shes interested in) but it looks good on the CV as well – although bear in mind that it’s the sort of thing that most wannabe applicabts do so it won’t necessarily set her apart. In a similar way, I bet the interview panel collectively groans when they see yet another DofE Gold certificate 🙂
I’d encourage you / her to think outside the box a bit. Perhaps the most informative thing I did at that age was volunteering at a summer school for disabled children. I did it initially for the CV but I really enjoyed it so ended up doing more than I “needed to” and in hindsight it really shaped me as a person. Certainly that was more interesting to talk about at interview.
Finally, if I know faceless admin people in NHS institutions, then a simple application form MUST be followed up with a phone call. That’s the first test. Your daughter needs to ring to chase this up.