Certainly this weatherperson can find an avenue for publication in this day and age.
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The book is published. Getting publicity is the problem, & apparently other Fox people have received similar treatment.
But that is what leftist reviewers always do. Ignore anything by a conservative.
So she should make the rounds on Fox, appearing on everyone else's show, where they plug her book.
That's what Fox does all the time. Half their show are plugging one of their anchors' books.