Why is car insurance compulsory here in FL?

"Our daughter broke her arm. She's insured with my husband's insurance. The insurance company consented to purchase the doctor and hospital charges nevertheless the doctor's workplace never published the bill to the insurance -mobile-al/">insurance carrier. There's evidence which they submitted it to the incorrect insurance carrier and therefore are looking to blame us for it stating we gave them the wrong info. I've no idea where they think we came up on an insurance provider we never had with information. Additionally they had the correct information once they billed our insurance to get a prior event. Now 24 months later the doctor's office is wanting to gather the money from us saying it's also late to gather on our insurance. Can they are doing that? Each month we pay a whole lot for medical insurance