I'm not sure how you would get a more proper judge. I'm one of the three that is listed officially on the Ranking Headquarters.

And Rilla has strongly reinforced my thoughts (some of which were stated) in that it is up to you guys to agree to the set of specific rules you want. Some do not want, or need, a strict set of rules to complete a ranked match and really only need a judge to make determinations based on their sensibilities. Some also may not want to apply T1EA, as it may not work with the system they are using (AKA my fight with Tuuj that used a psuedo-formal system that is technique embedded). 

Abandoning or forfeiture of a fight has historically given victory to the one who did not do that providing that there was actual combat that had taken place. In this instance, I would state that it has.

Here are your options:
- Agree upon a set of rules for enforcement and continue the fight with them
- Continue the fight with the understanding that any issue arising will be my judgment and it may not be strict T1EA
- Agree to a tie and both walk away
- Someone forfeits and grants the other a victory