Where did I imply the patient is in the wrong?
It sure sounds like you took the hospital's side in the dispute. You then didn't offer any clarifying details as to your stance-- instead going "huh-huh--- where did I say that?! where did I say that?!" This doesn't help communication, but it sure does help confrontation and wasting other people's effort in communicating with you.
> It's not like the hospital intentionally hide the price and then charged her with a high price
Actually, this is exactly the practice with chargemasters: no one is able to know the price because the hospital holds the pricing information confidential.