As a parent having been in a similar boat, and as a school governor, please please let your dc’s teacher know what the situation is.
schools will vary hugely in their ability to help with transport, you may have to ask the class/year WhatsApp for that; but it’s so important that your dc’s teachers know.
I’m sure you are doing a fab job of reassuring them that all will be well, but they might also be worrying underneath it, and their teachers can also help keep an eye on them from that perspective. Again, school support options vary, but most will have some form of pastoral care, and this can be so valuable for kids.
I hope that you don’t think I am judging in some way, And you may have this bit covered already. Kids pick up on the strangest things, or overhear something innocuous and somehow come to a totally random conclusion in their head, and sometimes you don’t know about it until later.
I do hope that you are able to get help from someone with the transport, and that your own treatment/recovery goes smoothly 