I think you meant, how did Katara and Zuko managed to track Yon Rha. After the leader of the Southern Raiders was interograted and admitting it might be Yon Rha. Due to Katara's bloodbending afraid, Zuko or Katara might have ask "where he was staying and residence to track him". The leader must have allow his details "Yon Rha retiring based". So Zuko had guided Katara and Appa to where the village that Yon Rha was based.Â
^ There was an entire episode about that, I don't think that's what they meant :/ I thought it sounded more like, "how did Yon Rha reach Katara's mom before Katara could?", which makes a lot more sense imo given that they said, "I mean she was headed there before the fight".
Idk why though.
katara is like batman or black panther,