In what state did this take place? Your screen info indicates that you are in Arizona but that state doesn't have "county supreme courts." Your remedies depend on the applicable state law, so where this took place is important.
Note that the fact that the plaintiff was a spouse of some other judge is generally not a conflict of interest that would require a judge to recuse himself/herself. So you'll likely need more than just that fact to get the decision reversed.
You say you thought your case was "easy" to defend. Perhaps it was not as easy as you thought. I've seen a number of clients who thought their cases were "slam dunks" but when I looked at it, it was not nearly as good as the client the thought. The client's own bias in the matter colored their view of it making them believe that the case was a lot better than it truly was. What I'm getting at is that a third party who knows nothing of the case other than what is presented at the trial may come away with a different view of it than you have. I obviously don't know the strength of the plaintiff's case or how good your defense was, so I can't say that you misjudged the case. I'm only suggesting that you consider that as a possible explanation for the outcome of the trial.