Also, something to consider is that some shelters have special deals for older people. I don't know how old your mom is, but the one I got my second cat (first one, in my avatar, was found outside with fleas and cracked paws, no claws, and no one wanting to claim her) from would do reduced or free to people over 65.
And older animals had a smaller adoption fee.
Older animals can be great since they've already been housebroken / trained. My parents got a puppy last year and were not prepared for how much work it would be. Older animals tend to be more relaxed, too.
Of all the pets I have had, cats are the least work while still being affectionate and cuddly. And if you adopt a cat that's been declawed already (I am not a fan of declawing), there's very, very little chance that furniture will be destroyed (some dogs are fine, some... aren't).
On the other side, walking with a dog might be a good motivation for physical activity and they're much better at learning commands.