<ul data-eligibleForWebStory="false">Trump's desire for rate cuts may face challenges with the next Fed chair.Investors are betting on rate drops post Powell's term, driven by Trump's influence.New chair will need support for rate adjustments from FOMC members amid differing views.Multiple contenders for Fed chair job, including those echoing Trump's call for rate cuts.Fed officials divided on rate cuts due to differing views on inflation and tariffs.