I get you OP.
I had a terrifically big labrador, who had this fantastic trick of kind of jumping up on his hind legs if we were walking out in the dark, and walking past someone. I would hoik him back (easily) on his lead, and he would get a treat. Nobody - but nobody - would have even thought about attacking me after that show of strength and obedience. I felt happy to take him out in the dark. He was my favourite dog in the world 
However I now have a fluffy spaniel by mistake who is pathetic when we're out and scared of everyone. I don't feel so safe - so I don't take him out in the dark.
Your husband can take the dog out without feeling fearful - you can't.
It's about feeling safe - he does, you don't - and he doesn't care. He still won't take the fecking dog out, or pick up the whatever-it-was you needed for your dc that night. That is the issue.
OP is not making the point that all women shouldn't go out at night, she is saying that her DH doesn't appear to give a damn about her.
Nobody should say to a woman 'you should feel safe going out at night because statistically men are more likely to be attacked' - men are more likely to be attacked because, frankly, there are probably more of them likely to be out and about at night, and those stats include muggings, random fights, gang attacks etc. Women are conditioned from an early age not to - to get cabs, stay in groups etc - because if you go out alone, and are attacked - it's your fault for being out alone. Rightly or wrongly, this is the message that is drummed into women from a very early age.
Equally, of course, nobody should say to a woman you can't/shouldn't go out at night - but the OP is not saying that - she's talking about this personally. Hers is a personal relationship issue of her partner not giving a fuck.