I would agree the Head of the Fed works for the and is replaced by the current executive administration.
They are only employed at the pleasure of the current prez.
That said, I don’t see them raising rates significantly until there is clear wage inflation occurring (and I expect they will let that run awhile before raising as well).
The general population has to be able to afford the current home prices at 7-9% interest before they will raise or even let the market crash.