am I liable to pay a medical bill if there was negligent care?

My wife went to the doctors complaining of bad pains in her right side, they preformed test and took a ct and couldn''t find anything, the doctor from there decided to admit her into the hospital for observation, they put her on IVs and told her that if the pain worsen they would remove her appendix cause that was the likely what was wrong. while there waiting the IV started making her arm hurt, they looked at it and said nothing was wrong, wish we would have know better, her IV filled her arm with fluid, she complained over and over about it once in tears, they told me that it was the pain medication they gave her through IV. she got tired of them ignoring her and decided to release her self, they told her she couldn''t , luckily she new better of that. we went to another doctor and found that she was had severe constipation, long story short the first hospital has filed a lawsuit for services rendered.