The Public Defender only handles criminal cases. They do not handle civil restraining order cases. You would need to get a private attorney to assist you on the private restraining order case. Also, beware that there is a short time period for appealing a restraining order. Also, additionally understand that the appellate court, the district court will simply review the county court judge's decision in order to determine if there was an "abuse of discretion" in granting the restraining order. Good luck.
The information provided in this answer does not create an attorney-client relationship. If you are interested in his legal services, feel free to call Chris at (303) 409-7635 at his law office in the Denver Tech Center. All initial consultations are free of charge.
This is a civil issue, Public Defenders handle only criminal cases. You may be able to get a Legal Aid lawyer because they charge a sliding scale. You would need to file a motion to vacate the judgment and present "good cause" why you did not appear at the hearing if you had adequate notice.
This answer does not create an attorney-client relationship. It is advisable to consult with an attorney with full disclosure of relevant facts for a comprehensive leagl opinion.