Perhaps you have not seen what Trump and his administration is doing, but I will explain it to you, in case you don't understand the mindset or the plan Trump may have on his head for this term.
All this is about pushing constitutional boundaries until the extrem, to see how far Trump and his team can get with whatever they want.
Keep in mind the supreme court has already pulled the President of the United States is pretty much inmune to prosecution for whatever he does, as long as it is done as part of his duties, basically giving Trump a get our of jail for four years or even more.
Also, the supreme court is obviously sided by Republicans and with the agenda of Trump, so even if the case of Trump wanting to remove the chairman of the FED was elevated to the SCOTUS, there is a chance they would mess with the separation of power and allow Trump to remove him from his position. He wants to be as authoritarian as possible.
I have heard accusations that SCOTUS is biased toward Trump and the Republican agenda. But I think that is not enough for Trump to easily break or distort the immutable rules of the constitution to do whatever he wants.
Without a good reason, I don't think Trump can remove the Fed chairman even if there is bias from the Supreme Court. Because the destruction of the Fed's independence and the politicization of the Fed are not just causing outrage in US politics. That would have dire economic consequences, especially as the world's confidence in the US would collapse faster than ever.
The US can stand firm and receive the trust of the world as it does today thanks to the perfect separation of powers. So if that gets broken, politicized…they lose the trust of the world.
Trump has many advantages and power in this term but if he harms the interests and position of the US in the international arena. His fate could be similar to that of four presidents who have been assassinated in the past.
American politics is complex and there are many mysteries beyond our understanding.
The thing that Trump should do is make US Treasury Notes as competition for the Federal Reserve Notes, and then offer them to the country. Treasury Notes are backed by gold, btw.