What does your DH do for work?
At some point, if you don't have a job that will allow you to work from home, you'll be faced with a choice of going back into the real world or having no job. I understand why no job isn't an attractive option for you.
I sympathise with your DH, I'm terrified too, but I'm lucky enough to be able to work from home. Not everyone can, but everyone has bills to pay. And many people find a sense of self in work.
6 months is a long time away, and hopefully we'll have better news by then, but in the meantime, all you can do is make sure you have good procedures in place. I imagine as a chef you're pretty used to following all kinds of rules (food hygiene, kitchen safety, etc so agreeing and following some new rules shouldn't be unnatural. For example, keeping a 'quarantine' area by the door so when you get inside, you can strip off your clothes into a bag, sanitise your hands and jump straight into a shower. Maybe your DH can put that bag in the washing machine for you and sanitise his hands, whilst you're busy showering.
Could you both read through the shielding with other people guidelines and come up with some measures that make him feel safer?