Maw' in my opinion when men are not good at childcare a lot of excuses are made for them. Bless, they are men, they may need time to bond etc.
Also if a man does do a household task or look after his offspring then he is elevated to godlike status, often congratulated for babysitting his own children.
Women are expected to be natural carers, no one ever waxes lyrical about how good a mum is for babysitting her children and she rarely gets excuses made for her when she cocks up.
I think the bar for females is much higher than for men when it comes to parenting and household chores.
Just my opinion, based on my experiences, that's all.
This child has two grandparents and they should both be able to provide a safe home. The situation sounds so stressful for op, her h needs to step up.