She was appointed directly as president of the Queensland Court of Appeal, without having previously been a member of the Supreme Court. She served from 30 July 1998 until she resigned in October 2016. She was the first woman appointed to lead an appellate court in Australia. In April 2015 McMurdo was involved in a dispute with then Chief Justice of QueenslandTim Carmody, which subsequently became public, concerning disclosure of a meeting between Carmody and Hetty Johnson, the founder and executive director of the children protection advocacy group Bravehearts. after McMurdo, Carmody and Justice Hugh Fraser had heard an appeal by Brett Peter Cowan against his conviction for the murder of Daniel Morcombe and before the decision had been handed down. McMurdo sent an email to Carmody stating that:
I am deeply concerned about this. The judgements in R V Cowan are not yet delivered either in his appeal against conviction or in the Attorney-General's appeal against sentence. In the circumstances it is our respectful view that you should disclose immediately the fact of this meeting and what was discussed at it to both parties and afford them an opportunity to make submissions about it if they wish.
Carmody responded five days later was that "Any suggestion that this would be sufficient to give rise to a reasonable apprehension of bias or prejudice... is unsupported by precedent and utterly preposterous." The response from McMurdo was to advise the Supreme and District Court executive director that she would not sit with Carmody. Carmody disclosed the meeting with Johnson and Cowan made an application that Carmody recuse himself for apprehended bias. Carmody proposed to deal with the recusal application himself, which promoted a further reaction from McMurdo and Fraser that there was a reasonable apprehension that in stating the recusal application was utterly preposterous, Carmody had prejudged the recusal application. Carmody subsequently withdrew from the case "instead of prolonging this bizarre sideshow".
Subsequent career
McMurdo was appointed Chair of the Legal Aid Board of Queensland in May 2017.
Honours
On 11 June 2007 McMurdo was made a Companion of the Order of Australia for "For service to the law and judicial administration in Queensland, particularly in the areas of legal education and women's issues, to the support of a range of legal organisations, and to the community."
