A law firm that wants to stop representing for free an imprisoned ex-lawyer has been rebuffed for a second time by a state judge.

After Mildred Didio was convicted in 2011 in connection with a real estate scam, her professional liability insurer notified her that it would no longer pay her legal bills. But when Traub Lieberman Straus & Shrewsberry of Hawthorne, the firm retained by the insurer under Didio’s professional liability policy to defend her in civil suits stemming from the fraud, offered Didio a retainer agreement, she failed to execute it.