While I sympathise with you regarding being very ill and I think it is completely out of order for your DH to involve your daughter in your argument, I have to agree with some posters on a few points.
As your daughter is 6, so not a baby or toddler, I think YABU to expect your DH to stay home, especially if you get sick regularly. I think that's different to a once off, out of the blue, acute illness. If you're sick often, does that mean your DH is the only full-time earner? Then it's even more important that he doesn't miss work or get into trouble about missing work. What would happen if he lost his job? I think you need a plan in place for the next time you get ill.
As someone living with chronic illness, if you know your symptoms will flare up every so often you should try to plan ahead for that. Unless you're very wealthy with plenty of savings and/or your DH has job security, I can see how it might be difficult for him to take time off work to look after your daughter every time you're sick. Especially during school days, surely she'd be in school then?
He could drop her off at school or a neighbour could, if his hours don't match up with school times. If you're sick at the weekend and he has to work, then he should leave breakfast, snacks, lunch out for her and she can watch tv etc. She'd probably love a morning of tv and in the afternoon you could arrange for her to visit a friend. Even if you don't normally allow a lot of tv, screen time or snacks, it's different when you're very ill. You do what you have to to get through the day and then return to your normal routine when you're better. When DH gets home, he should take over everything. The point is, there are solutions that don't involve having your DH miss work if he's the main breadwinner in the family and illness is a frequent occurrence.
There seems to be a lot of resentment coming across in your posts, from both sides. If this is not just a once off and you're often like this with each other, then I think you both have to decide if your marriage is worth saving and try relationship counselling straight away. Otherwise, agree to separate.
Your daughter is going to be affected if she's living in a household filled with tension and resentment. Children notice, even if you try to hide it. Hope you find a solution that works for all of you and you feel better OP.