She won't apologize until the radio station and/or her personal attorney says she needs to do so, in order to avoid a libel lawsuit and/or cancelation of her radio show.

And most likely, if this were to happen, an apology from her will be a qualified, half-baked one at that. 

Oh Amy, what ya gonna do? La la la la la

The large, large majority of Alaskans support you and your family, Mr. Jones. Peace brother!