So sorry for your situation - its pants but you will get through it. I lost my mum through cancer 15 years ago. Looking back you need to prioritise:
You Mum, DD, You, DH work. I would speak to work - see their HR dept, and line manager, explain fully and calmly - un paid hours, compassionate leave. They will want to help as long term it is in their interests. If that fails go with Bakery's suggestion, GP and get signed off.
Then speak to McMillan - with my mum they were a life saver (not hers - sorry bad joke!!) but mine, and my dads, words cannot express how amazing they are, regardless of the outcome of this situation you will come out the other side and your own well being is vital long term.
As far as your DH is concerned. Could he be realising and projecting badly that he is feeling guilty that his reaction to his mums passing is not the same as yours, he feels yours is normal and he is lashing out at his nearest and dearest that he feels bad as he didn't feel like that. I would try and speak to him. If there is no conclusion or solution then focus on yourself, and your daughter and deal with him later.
What I found was practical, was routine, get up, work, home, check on Dad, visit mum, home, eat, bed, cry, sleep. Very boring but it got me through it and I didn't focus on anything else.
Hugs and flowers