:: Trump could recommend her, and support her, but he doesn’t get to put her in the post, and he doesn’t get to vote. ::
And, he was in need of leverage to get squishy Milt Romney in-line with the new administration.
More flies with honey, in that case.
Trump’s biggest weakness (and strength) is he believes he can make a deal with anyone.
No movement in the Middle East for decades, then Trump signs The Abraham Accords, because he believes in making deals. A historic success.
Trump supports a Romney as party chair, because he believes in making deals. She stabs him in the back.