Sorry to hear your DD is poorly.
This is what usually happens with DS (yr 5). We both work, but have different work patterns, if we're both here and deciding who's to stay home, I usually have to take time off work. It can result in a row as to who has the more important meeting/appointment! Mostly DS is ill on the day I don't work.
We do not have family who can help, so it is down to us.
I work annualised hours, and can claim pro-rata equivalent to 5 days per year for dependent care. [I think my husband may have something similar but he doesn't claim it - probably thinks its just for women ]
I can be honest with my employers as there are a lot of us with the same age children. There are also colleagues who take dependent care leave to cover emergencies with their aged parents. There are enough of us that we can cover for each other, so people are generally sympathetic, as they have been there too.
I also work in a job, which to a great extent can be done from home, so we're not completely out of the loop.
I hasten to add that it was not like this at all
when I worked in the commercial sector. I really fell on my feet with this job.
Colleagues who have children now at secondary school will leave them for say, a morning, and go back at lunch time, but they do worry about it whilst they are at work.
I imagine parental decisions are often influenced by the prevailing culture at work, employers attitudes, whether people have to cover your work, whether you lose pay.
Hope DD's feeling better soon and that Ed does well in his exams.