Then wizard you are an awful parent if you would not seek medical care for an injury.
A friend has a child whose shoulder dislocates fairly regularly due to an underlying condition. She has been visited by SS because of it, as the hospital should report these cases just in case there is something more sinister going on. They chat, she cooperates, they go away again because she has nothing to hide and understands that they need to investigate in order to discover genuine cases of abuse.
There is a lot more to these "stolen" baby stories than meets the eye. SS need (or certainly should need, the good ones do) a lot of evidence to remove a child. Adoption as others have said is the last resort.
As someone who has read a lot of children's adoption profiles, the impression I have is that they are often left with their birth families until far too much damage is done (particularly with neglect, much more common than forms of abuse and far harder to prove) because SS have to be sure that they have supported the family and - in cases where children are eventually removed - are making the correct decision.
There are families where four or five children have been taken into care already, but the next is not removed at birth so that the parents have an opportunity to show that they can care for this one appropriately (and are given support to learn how to do so). This is not an unusual situation, at least in our local authority.
The emphasis is on keeping children within birth families wherever possible, though the scaremongering suggests otherwise.