It isn’t always possible to make a perfect decision during an emergency. You did the right thing to call an ambulance. Without having a plan worked out ahead in case anything happened to your grandmother, you followed what the EMTs advised at the time. This is perfectly acceptable.
Hip fractures aren’t as likely to be life-threatening compared to heart attacks or strokes. But a break in the bone can cause a fat embolus or blood clot to travel to the lungs or brain, so getting medical care quickly is still important.
It’s possible that smaller hospitals have fewer cases than a large, regional, medical center. But being close to home is important for many older adults. And a smaller facility may be able to offer closer follow-up when needed.