Would you lend your car to your daughter.

AgreePant about the 2nd named driver on a policy - not that I’d trust my DD with my wheels! The OP needs to inform her insurance company of the circumstances though, especially as the car won’t be kept at the same address/under the same conditions as the original policy and her DD needs to be upfront if she had any points/pending.

no i wouldn't.
even if you get the car back, in drivable condition, there is the risk of fines arriving in the post with increased charges for overdue penalties re parking, congestion charge, ULEZ etc.
does she regard you as a source of finance/ goods and services ?
what age is she. any disabilities. ?
unless a big back story, i'd say she should be supporting you, not tapping you for her expenses.

I lent my car to my DD in early lockdown as she needed to get to work as a key worker and I wasn’t going anywhere. I still haven’t got it back ……? Your DD should pay for the insurance needed but otherwise I’d let her use it

It’s usually cheaper to have a named driver on your insurance (not sure why) travelsafar so there shouldn’t be an extra cost there.

that's a hard one travelsafar. You'll have to let the insurance company know you wont be keeping it at your place and for how long, and where it's going there's no off road parking. That may mean an increase on top of adding her to your insurance.

Can't she pay for the additions and will there be any problem getting it back when you can drive again?