There’s nothing wrong with using modern medicine to treat your illnesses. There’s a reason why the average age of death in first world countries is 80-85. While spontaneous remissions of diseases and sudden restructuring of broken bones does happen and I have both seen and heard of stories of such things happening. Modern medicine is the reason why we live so long. So, I would go to the hospital, even if it is just for them to immobilize your hand.
Funny story: So, I was working in child care and as a result am pretty prone to pink eye. It’s basically a workplace hazard. And so, at the time I was also attending a Charismatic church which is very spiritually alive. So, anyways, I get pink eye, and I go to the Church that Sunday and after Church my pink eye went away, that’s good. But then, I forgot to wash my pillow, so I got it again. So, the next Sunday when I went back to Church again I got healed from my pink eye again, and then I made sure that I washed my pillow afterwards so that I wouldn’t recontaminate myself.