Contempt Appellate Attorney
A civil contempt judgment seeks to "encourage" an individual's compliance with court orders. For example, paying the money owed to avoid incarceration. The civil contemner holds the keys to their own release because complying with the contempt judgment ends their punishment.
A criminal contempt is punitive. For example, flagrant conduct before the court is punished by fine or jail sentence. Unlike civil contempt, the jail sentence is for a time certain (e.g., thirty days).
Judges make mistakes. You can appeal the contempt judgment. If the contempt judgment is not a final order then an interlocutory appeal may be pursued. If the contempt judgment is final then a direct appeal can be pursued by filing a notice of appeal. Once a notice of appeal is filed then a motion to stay the judgment pending the outcome of the appeal can be pursued, if justified.
If you do not challenge your contempt judgment then the judgment of contempt will likely haunt future disputes. Your opposition can use the contempt judgment as proof that you are a "difficult individual" with whom to deal. Future contempt issues can become more complex once there is a history of contempt.