Wrist fractures are common in older adults. In particular, distal radial fractures receive a lot of attention. The radius is one of two bones in the forearm (located on the thumb side of the forearm).
With a fall or traumatic injury, fracture at the end of the bone at the wrist can be considered unstable if the broken pieces have shifted and no longer line up as they should. Surgery may be done to reset the bone and hold the two ends together until healing takes place.
But there are some studies that suggest invasive surgery in older adults with this type of fracture may not be needed. Results can be just as good with cast immobilization (and without the stress of surgery). Like your mother, with just cast immobilization, there may be a visible change in appearance of the wrist but everything works just fine.
It’s possible (even likely) that had you taken your mother to a specialist, she might have had the surgery and now have a straight, even wrist. Would she be better off? Not necessarily. There are risks with surgery (e.g., infection, poor wound healing, blood clots, even death) that can’t always be predicted or prevented. And the cost of the additional treatment can be quite significant, too.
You were right to take her to the facility that could provide immediate diagnosis and care. It’s really up to the health care professionals to make the recommendation of the best treatment. Putting her in a cast right away may have been indicated as the optimal plan of care given the type of fracture, her age, her general health, and any other factors present at the time of admission.