President Trump has promised to reveal his choice for Fed chair soon. Whomever he chooses will influence the rapidity of Fed rate hikes going forward. Smart financial institutions will evaluate their situations promptly, once the selection becomes known. I can envision some taking action on CD rates preemptively, depending on Trump's decision. Bottom line, the announcement could trigger higher rates as financial institutions seek to gather in funds now at lower cost than will be the case after the third of February upcoming.
Suggestion is to monitor carefully President Trump's Fed chair nominee and consider impact of that individual on CD rates going forward.