Haley is being groomed by the establishment as a possible VP selection for their Presidential candidate of choice, which is why pseudo-conservative media outlets like Fox News sweep all of her treachery under the rug and defend her. They're salivating at the thought of a Rubio-Haley ticket, the ultimate in the GOP's special re-branding and co-opting of political correctness.
Also those push her who view her nomination to VP as a step toward eliminating the nbc criteria for POTUS.