overprotective

Overprotective means guarding somebody far more than they need. An overprotective parent, overprotective of her, rather overprotective.

The complaint is about cost rather than motive: shielding a child from every risk removes the practice they need to handle any, which is the argument behind the return of risky play in playgrounds. It is nearly always said of parents. Note that over- means excessively, as in overcooked.