Your Aunt is surrounded by your love, which is the best thing possible -it does not matter if you are with her all the time or not, she is loved.
The hole in her heart left by your Uncle passing away, and the sadness and frustration she must have felt at the enforced separation is something that changes a person. Not being interested in daily tasks is a small thing, the fact she talks with you is so much more important. It injects life in to her life.
There are schemes that do allow a person to remain in their own home for as long as is possible, and as far as I am aware it takes the services of an experienced professional, a peer support worker, social worker or similar to set out the paperwork in such a way that it is accepted in full. It is easy to use the wrong words.
My own mother-in-law was in a similar situation and lived may years at home after her husband died. She had services come in and clean and help with meals and shopping, and later to shower and dress.
She still enjoyed her garden and the view from her windows, as well as mundane things like TV. Plus -and this was important to her, she has a little dog. Truth to tell I felt it looked more like a rat, and always asked how Ratty was. My MIL enjoyed the banter.
The regulations have changed recently so I have no practical tips to give.
I'd be interested to know how you get on wiht those links.
I'd also like to ask who is there to help support you, after all the burden is more than one can reasonably bear alone for very long