Here. Cordray's recess appointment expires in December. What happens then? Under Dodd-Frank, Cordray's deputy takes over as acting director. Right now, Steve Antonakes is the acting deputy. But some of those who argue Cordray's appointment is invalid claim also that his naming Antonakes as acting deputy is invalid. Of course, the Supreme Court may rule that Cordray's appointment was valid (or rather, the NLRB members whose appointments are at issue in the Noel Canning case) or even if the courts find Cordray's appointment was invalid, they could nevertheless ratify his decisions–but any decision in Noel Canning is unlikely before Cordray's appointment expires. Another option, according to Politico:
[T]he court could allow the Treasury Secretary Jack Lew to assume the role former Secretary Timothy Geithner did before Cordray was appointed director and oversee the CFPB. In that role, Lew could ratify Cordray’s actions and delegate the day-to-day responsibilities to an adviser — presumably someone within the bureau, like Antonakes.
Not everyone agrees that’s permissible under Dodd-Frank, and it could lead to even more legal challenges.
Either way, without a director, the bureau would be stripped of its powers to oversee nonbanks and be limited to enforcing laws transferred to the bureau from other agencies.
I'm not clear on which court the article is referring to or what procedural steps would lead to a court coming to such a result, but I hope we don't need to find out.