The declaration by Nigeria`s Court of Appeal, sitting as the Presidential Election Petition Tribunal, 2019 (the 2019 PEPT) that “We Won’t Accept Public Analysis of Our Proceedings, as reported in the May 08, 2019 issue of TheCable, a news medium in Nigeria, had generated a lot of controversy especially with regard to what extent (if at all) public analysis of pending court proceedings might constitute disrespect to, or contempt of, court in Nigeria. The present paper is a dispassionate assessment of that declaration by the 2019 PEPT in the light of extant law on Trial Publicity as provided for in Rule 33 of the Rules of Professional Conduct for Legal Practitioners in Nigeria (RPC), 2007, among other legislation and case law, with a view to establishing whether, or to what extent, public analyses of pending court cases might reasonably constitute disrespect to, or contempt of, court in a constitutional democracy founded on rule of law. The paper takes a look also at to what extant (if any) it may be practicable for courts of law to veto or interdict such open comments on pending court proceedings, more so in a constitutional democratic setting, such as Nigeria is. In the writer`s belief, assessments such as the present one, are necessary, especially in view of the verdict of Nigeria’s Supreme Court in Military Governor of Lagos State v. Odumegwu-Ojukwu (2001) FWLR (Part 50) 1779 At 1802 & 1799 to the effect that the Nigerian Constitution is founded on the rule of law, the primary meaning of which is that everything must be done according to law, Nigeria, being one of the countries in the world which profess loudly to follow the rule of law.