He needs to be told that the least he can do is treat you like you treated him in his illness. But tbh, because of your pregnancy, you need more tlc than he did.
From personal experience, I had a pretty nasty cold for the last two weeks of my second pregnancy. It hadn't gone by the time I gave birth and (possibly with the stress on my body from giving birth) it turned into a chest infection the day son was born. Nobody in the hospital noticed, they were more bothered by DS having a hot tummy after feeding, something to do with my chest infection? A few days later my MIL made my FIL come through and take me to the doctors, I could barely talk or walk by then. Had a really nasty chest infection and the doctor couldn't understand how I was even standing up, let alone made it to the surgery! Had a massive dose of antibiotics, which saved me going into hospital for iv antibiotics. Unfortunately it meant DS got thrush on his tongue from antibiotics in my milk, then I got thrush in my nipples, we kept passing it back and forwards until the tablets were finished and anti thrush medication got rid of it. I would not recommend this to anybody. (Also needed some iron tablets).
I am not saying this will happen to you, but you and your husband need to make sure you are well looked after, particularly while you are unwell. There is not just you to think about, there is your baby too. You need to stay in bed and rest as much as possible, it would be really unreasonable of you to get up and do housework etc. before you are feeling a lot better. Your DH should be able to manage to sort most things himself and he needs to let you rest as much as possible.
Sorry this is so long, a simple cold can turn into something nasty, especially after childbirth. You need to take as much time as you can get to recuperate.