If you were at fault in a car accident and have full coverage can the other party sue you personally or does your insurance company take care of that?

if there is a suit brought for the accident they will have to name or sue you, not the insurance company, don't panic though, your insurance company should represent you, (if a judgment is entered against you the ins co will pay it, assuming as simplistic as question) if you are ever served with papers immediately contact the adjuster.......you turned in the claim when it happened right? if not better get on that........asap......