Is the intended meaning of "judge" the authorized marriage officiant, even though she appointed her maternal uncle as her representative before the officiant and in the presence of people?

A judge is the one to whom disputes are brought and who rules on them. He acts as a deputy for the ruler, who is the guardian of those who have no guardian. The ma'dhoun (marriage officiant) is only responsible for documenting the marriage. If the judge deputizes the ma'dhoun to marry off a woman, the marriage is valid. However, a woman deputizing the ma'dhoun changes nothing.