dear Ali, hello and great to hear from you.
Personally if I was in your exact position, there is no way I could cope with your husbands demands, especially being sick and with a new baby and if I ever did this to my wife (ex) I know where I would be and sleeping in another room.
He only seems to be interested in himself and doesn't consider how you or the baby are doing and how he can help, because all he wants is sex, and I do realise how men feel, but there has to be a compromise and a limit on how to satisfy his only needs, it doesn't sound to be realistic for a man to demand his needs before looking after a wife and a baby.
I think that Mike has a point about his testosterone levels, which could be controlled by medication, but the big problem here is that will he want to take the medication, and if however he does that his anger doesn't increase or escalate.
Any thoughts of him getting his sexual pleasures else where, is not reasonable at all, and if however he does then problems will rise, and just because the wife/husband doesn't want to have sex then there is a problem which will need to be sorted out, but if you're sick and trying to look after a baby, then there isn't any problem but just their own needs wanting to be satisfied before anything else.
There are places for sex therapy but I'm not sure he will want to go, so I think your in a catch-22 situation, and happy to explain this. L Geoff. x