I am so sorry for what you and your family are going through. Cancer has hit my family this year as well so I can really feel for how stressful and scary this is. My heart goes out to you.
As for the daycare, if you woke up with the flu you would close on short notice right? This is not that much different except that you may have to close for more than a day or two. Last year my grandmother went into the hospital suddenly (on the other side of the country) and I needed to fly out on short notice. I notified families immediately and closed for an entire week. They were all fine with it. I think if you are comfortable explaining the situation to your families, you will have a very sympathetic audience and they will accommodate you without question. Best wishes to you and your family.