I think you may be being rather naive, but tbf I am also very cynical being on the receiving end of a lot of too good to be true 'solutions.'
My experiences with carers who have a company involved in their housing as well as their employment aren't good news for the carer, especially overseas workers. Their rent is taken direct from their wages, may not be the same as what you're charging, and they may have to pay 'management fees' on top.
All parts of these businesses need to make money, and penny pinching from the two end users (in this situation the carer and caree) to pay those seeking to make money (in this case you as landlord) in it all, is common.
It makes it very hard for the worker to have agency in their lives, and much disposable income unless they in turn start penny inching from others.
It takes more than a month for the realities of situations to become apparent, and the person can find themselves having to top you up for additional heating, water etc, or work whatever hours and shifts the company wants with a disregard to their welfare.
I note the company you mention has been acquired, alongside others fairly recently...
There are a lot of companies involved in 'providing solutions' in everything from care, SN / homeless / refugee accommodation, social housing repairs, etc who are effectively the front face of investment schemes, that operate to channel LA money, personal allowances, rents etc into them. It's the gathering up and handling of lots of individuals small pots and cost cutting solutions at scale to pay out handsome dividends and directors remuneration.
They are often big, come covered in 'social value' and awards, and are clean, shiny, and respectable at the top and front, acquiring good smaller agencies, then in reality sub contract services at scale to the cheapest bidder, who in turn sub contracts and by now you're into dodgy territories.
At the bottom are the people who's services and any funding are taken over who become just exploited funding units, and those being exploited to provide for them at as low a cost as possible, to feed the chain above.
I probably sound like a cynical tin hat wearer, but someone else may be able to explain exactly how it all works better.
So if she's been here two years I'd be looking hard at why the company is doing the running in this?
If I was in your shoes I'd be suggesting they just put their prospective tenant in touch with you direct.
If at a local level they're genuinely a lovely caring helpful bunch who also think "It seems a lovely idea to help out someone who is working hard to make a better life for themselves and their family" then her renting direct should pose no problems for them beyond having to give her a small amount of time of to go to see you...