"He needs a strong hand to guide him, but insists on appearing in firm command, so any aide perceived as pulling strings can face his wrath sooner or later. It was Mr. Trump, not his children, who pushed Mr. Bannon to the margins, motivated less by ideology than by dissatisfaction with recent failures and his perception that his chief strategist was running an off-the-books operation to aggrandize himself at Mr. Trump’s expense.... [Ivanka] Trump has never been close to Mr. Bannon, although she appreciated the ferocity of his work.... In recent weeks, she has spoken bluntly about Mr. Bannon’s shortcomings to the president. She was especially incensed by articles she believed were planted by Mr. Bannon’s allies suggesting he, not her father, honed the populist economic message that helped sweep the Midwest. She made that point in the strongest terms to her father, who agreed, according to a family friend...."
From a NYT article about the role of Jared Kushner and Ivanka Trump.