It's a period, not an illness. I think I missed a comment but reading later comments, I'm guessing you have endo? However, people referring to the possible complications such as horrendous diarrhoea, vomiting etc - you've not mentioned any of those so I"m guessing you're just feeling in pain and rough.
Fair enough asking your partner - 10pm isn't late for us either, but it's still a faff when it's freezing cold outside (which it is tonight) and it's Sunday night - presumably he has work in the morning?
The issue I have is not that you asked him, but the fact you've got in a pissy when he said no. You really could go yourself. It sounds like you and your partner regularly do nice things for each other which is great but if you're doing the dying swan act every time you have a period I suspect he's a bit fed-up with it.
And before I get slated, I do understand the pain of endo. I've got a friend with three young boys all of whom have special needs, one very profound. Her husband works away. She managed to cope with the boys, do school runs, shopping, everything while waiting for surgery to have a hysterectomy. It was hard work but it's possible. Obviously not ideal though....but popping down to the shop for some fizzy water won't kill you if you want it that badly.
If you do stuff like this for each other all the time, did you ask him why he wouldn't go? Or did you just cop a strop?