I would meet with the CEO to see what the issues really are.  Could be that the deficiencies in accounting practices are the fact that the CFO doesn't really know much about accounting herself but heard some goofy things from her hair stylist.  Bookkeeping errors could be her own thoughts on how revenue should be recognized like recording a sale for something that is ordered today but won't be delivered until July.  Implementation of financial controls could be that she thought the former CFO had too much freedom and she wants to micromanage the position.  Get the feel for the meeting as you go.  If the discussion makes you feel uncomfortable, find an excuse to leave early and go back to your office to figure out a plan B.