Let her visit.
When I was 11 my grandmother died - she lived in another country.
I hadn't been nice to her that summer (teenagers innit) and wanted to go to say goodbye.
My mother wouldn't let me go. The excuse was "I had to go to school" (which I hated btw) but the real reason was that she had a lot of beurocracy to deal with, thought I would be bored and distressed. And I ended up missing it.
I am still very angry about it now and I'm 40 years old. My mum also acknowledges now that it was a stupid decision.
If your daughter really wants to go, you should explain to her quite how unwell GP is, how GP looks, what she can expect, tell her that it might be very scary, be honest with her and give her all the information so that she can make her own decision. 10 IMO is young but old enough.
Then ask her if she still wants to go.
And if she still does want to go, then take her at a time that will be least dressing, that will be relatively peaceful for both.
It may well be that GP would also like to say goodbye.
These times are tough, but it's something we have to learn deal with, and can't be protected from at the end. Including your DD. This, unfortunately, is part of life.