My Mom (84+) is completely independent but as my sister and I live far away. She is not too keen on the idea as she doesn't like strangers in her house. But we would have more peace of mind knowing that someone can check in on her regularly and keep us informed.
Check with your local council on aging to see what recommendations they would have for assistance. https://www.agingcare.com/local/Area-Agency-on-Aging
For my parents I went through an Agency that does senior caregiving. But I wasn't going to pay for it myself, thus my Dad was going to reimburse me for the cost. This shouldn't come out of your savings.
Then with your sister, figure out when you'd want this person to come in. Mornings? Afternoons? Right before bed? And for how long? 2 hours? 4 hours? 6 hours? Etc. This would all depend upon your mom's current state of health, what she might need assistance for, and what she might be willing to agree to. If you can only get her to agree to, say, 2 hours a day, take it! You can always increase hours as needed.
I know you said you don't live in the area but if your mom is willing to concede to having a caregiver it might help if you or your sister is there with her the first couple of times. A professional caregiver will understand your mom's hesitance at having her there and might just take the bull by the horns and start doing what needs to be done (encouraging your mom to shower, making her breakfast) but you may get a caregiver who will need a little more direction from you as to what your mom's needs are. Many elderly people left alone with a caregiver will politely ask them to leave by stating that they don't need assistance. The caregiver will have little choice but to leave since no one can be forced to have a caregiver if they're competent and can make their own decisions.
If you can get your mom to agree include her in the decision making process. Would mom like help with getting her groceries? If so, that's something some caregivers will do. And while caregivers aren't allowed to fill medication boxes they can remind your mom to take her medication. Does your mom need help in that area?
But first you have to get your mom on board.
https://www.agingcare.com/documents/personal_care_agreement_AgingCare.pdf