There are several programs in Knox County for seniors and pets. One is PAWS (Placing Animals With Seniors). You have to be 60+ to be eligible and the pet an adult from the County animal shelter. It gets all the medical care it needs and there are other programs to help with food and any additional medical care. The County provides has a couple of mobil vet units and also provides transportation for owner and pet if they need to see a Vet and can't drive.
There's also HABIT (Human-Animal Bond in Tennessee), run by the University of Tennessee Vet College. It provides volunteers who take animals to nursing homes, assisted living, etc.
And the County shelter provides reduced fees for senior dogs, thanks to a huge donation by a woman who feels senior pets need homes, too.
It's been studied and proven pets have a positive influence on health and well-being. That's why the University of Tennessee offers a degree in Veterinarian Social Work.
The University of Tennessee College of Veterinary Medicine