In my 61 years I have been thrown many times by different horses and even my trusty QH mare. Although I never had to be hospitalized, but did have to get a pain prescription several times. Never broke a bone. I was laid up and on crutches a few times though. The really only time, as I recall, I was fearful after getting thrown by a 2 year old gelding that had 30 days under sadddle on him. That horse really dumped me hard. It was just a matter of making myself get back on. I did take it slow and easy though. Not pushing myself, but having such a strong desire to get riding again. I did ride another 2 year old gelding years after the first one. Only the second 2 yo was my mare's first born foal and I knew him like a book.
Understandably, your family is concerned for your safety. Your determination to conquer your fear is commendable. Trying and trying again is a sure fired way to overcome your fear.
for your attempts to get back on your horse.