He'll be far more disappointed and less attracted to you if you lie to him.
Not telling him about your health issue is a lie by omission. When he finds out, which he inevitably will, he'll be wondering what else you have been keeping from him. The trust you have between you will be severely dented. So sit him down and talk it over with him as soon as possible.
Him being proud of you being independant and making your own way is one thing. Him standing by while you kill yourself is quite another. It's a no brainer choice for any husband.
Don't be dumb. Listen to the doctor and do as he says. That's what he is there for.
I definitely agree! You should so tell him, if not for the reasons stated above, definitely for this one reason: he's your husband. He married you for better or for worse. He might be shocked, but in the end, he's still going to love you and he's most definitely going to take care of you. It's part of your marriage and part of your love for each other. There's no way his feelings for you would change over this.
Personally, if I had a girlfriend/wife in that position, I'd want her to talk to me about it if she's worried. You have conflicting goals -- you want your health good, but you also like having a career.
Are you looking at quitting all work entirely, or just finding a different job? That also makes a significant difference. It's one thing to change jobs for health reasons, and another to simply give up. Can you work from home?
From the sound of things, you want to work and be productive. I think you should talk to your husband about possibly finding another job, or having to quit work.