From what I’m seeing they’ve appealed to the Sixth Circuit, but this case is probably destined for the Supremes at some point.
“According to Chief Justice John Roberts, speaking to a reporter with Daily Business Review in November 2006, it generally takes six months to dispose of a petition from the time it is filed. Roberts may have been including all the administrative processes involved before a case granted certiorari can be scheduled for argument, though, rather than the time interval between filing the petition and having certiorari granted or denied.”
So they should be fine so long as their lawyer dots his is and crosses his ts.
I suggest the Roberts be confronted with his adoption and gay summer trip actions.