In making its decision in this case, the trial court failed to consider XXX’s arguments


“order, judgment, finding, or ruling”
Of course, these are synonyms but there are some differences:
Judgment – when it concerns issues of law
Generally speaking the appellate court examines the record of evidence presented in the trial court and the law that the lower court applied and decides whether that decision was legally sound or not. The appellate court will typically be deferential to the lower court's findings of fact (such as whether a defendant committed a particular act), unless clearly erroneous, and so will focus on the court's APPLICATION OF THE LAW to those facts (such as whether the act found by the court to have occurred fits a legal definition at issue).
Decision (ruling) - when it concerns PROCEDURal matters
Sometimes, the appellate court finds a defect in the PROCEDURE the parties used in filing the appeal and dismisses the appeal without considering its merits, which has the same effect as affirming the judgment below. (This would happen, for example, if the appellant waited too long, under the appellate court's rules, to file the appeal.) In England and many other jurisdictions, however, the phrase appeal dismissed is equivalent to the U.S. term affirmed; and the phrase appeal allowed is equivalent to the U.S. term reversed.
http://en.wikipedia.org/wiki/Appeal

finding - when we mean findings of fact

Order – direction of a court or judge entered on the court record but not included in the final judgment (in the course of proceedings)