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This is tough. How well do you get along with SD's mom - can there be open communication about health and safety procedures? How well do you all know SD's sister? Is she willing to follow your house rules while she is there? Is SD up to the challenge of babysitting for 12+ hours/day?
I'd start by talking with DH and then your SD about how much of a responsibility this would be and what kinds of house cleaning, hand washing, disinfecting procedures you expect everyone to follow. For instance, as a teacher, my DH comes in a goes straight to the shower, does not go to the kitchen, does not say hi to DS, showers and changes all clothing and puts it straight in the washing machine. He does that during flu season every year, but especially now.
If anyone is immunocompromised, I'd probably lean toward no, but on the other hand, I so feel for parents who have to work and have no childcare options!

I would do it, assuming no elderly/immunocompromised people are in your house.

@josina: having another kid around so their parent could work wouldn’t bother me, but if your step daughter is still is HS, I wonder how much remote work she’ll be assigned, and if she’ll actually be able to babysit her? Our sitter could not believe the amount of take home work her middle schooler was given. It wouldn’t make me not do it, just something to consider.

Not if there's young children in the house. It's OK to protect your babies. Everyone else can just learn to deal with it

I would. I think we all need to help each other out as much as is reasonably possible during these times. It sounds like she is in a really tough spot right now.

I think there are a couple alternate solutions here. Could you have the 9yr old sleep at your house during the school week? That way no one's sleep is interupted, she will feel more a part of your household and you will limit her exposure to her mom (for contagion purposes). She can go back to her house friday night-sunday.

Or could your step-daughter live at her mom's for the month?

Any way you choose to slice this, the biggest thing is comminicating expecations and rules. We all need to bend and help during this time, so do what you can. If you do agree, I would definentally say the first week is trial to see if it works for everyone. Then at the end of the week, sit down all together and have a family meeting to make sure everyone is still on board, and to work out any problems/kinks. We are all very tense and stressed so our breaking points are much higher than usual. Extreme open coomunication will be key to navigating this situation as you currently don't have ANY real commuication with that family.

Good Luck!