Every update you make is actually making me have even less sympathy for you.
I was hospitalised frequently from a young age (4) due to a chronic ilness.
Mum still had to work or we wouldnt have had a roof over our heads or food on the table.
In the early days - about the first year she would pop in to see me before she went to work, and again once she'd finished - gone home, sorted our animals out and made dinner - which she'd then bring in and we'd eat together.
as time went on - she'd come in after work, as I was fine - theres plenty of other kids on wards, loads of people to chat to, and usually TV's or video game consoles
the fact that you can't compartmentalise enough to be practical about this, is more of a reflection on you than it is on him.
As for your other daughter - she's at school during the day correct? and a friend is feeding her and letting her stay over in the evenings?
We had that arrangement after mum suffered a TBI when i was 16. I stayed with my best friend while mum was in the hospital for 3 weeks, but we wereboth at school, so the disrupption was minimal.
Now? I have that job, where high level sites will literally shut down if i'm not on site, as it would take at least 2 days to get someone out to physically replace me. The only time I have EVER left during a contract was when my Gran was actually dying. for me, if its not litteral life or death theres no argument to be made.
Just go to work, it'll give you a break also from being stressed about your DD, who i hope feels better soon.
I do however agree that not facetimming or even a voice note is shitty.