Sunscreen

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I have a very delicate, fair skinned 11 month old son. His nursery are due to reopen on Monday. They've said they're intending to spend as much time as possible outside to prevent Covid spread. They've also said they won't put sun screen on because of Covid (but they will change his nappy and hold him because he can't yet walk...). Surely this isn't preventing any spread and there's no way I can put sunscreen on before nursery and him be protected all day.
AIBU to insist that they put sunscreen on him?

I work in a nursery and I expect to put sun cream on when I go back to work. Ask if they can where gloves when putting on the cream?

Both the nurseries my daughter has attended applied sunscreen. What's the alternative? Letting the children burn?

Theres a once a day suncream you can get.
You could try this.

But children should not be in the hot sun between 11-3, especially in this heat.
This is not on and i would not want my child in the sun all this time.
Its not good for the childs health

The nursery have to come up with alternative, shade , coverings etc.

Look up any government guidance or regulatory body advice on on this - I think anyone in a caring profession is scared of being accused of doing something so maybe you could compromise by writing a note saying they won't be held responsibie for any rashes that arose from it. I can understand why they are super cautious in the current climate Tbf.