She follows him around and they travel together for a bit. Jinmu gets to the first Taoist temple to get the piece of info for the dual energy. He finds out the secret organization/castle is also looking for it. The wolf general dude from the secret castle comes after Jinmu and Lady Tang after Jinmu finds the hint. Jinmu and Lady Tang almost die and Papa Tang saves them. Then Papa Tang takes his daughter back and forbids her from chasing Jinmu around again. That whole debacle makes the secret organization not secret anymore and after that the Orthodox sect begins to hunt them down for real.
Note that, Lady Tang doesn't appear much. While Jinmu is in the taoist temple, he's by himself. The Tang clan members aren't allowed on the mountain so she had to wait outside for Jinmu to be done with what he was doing.
Spoiler me please, I'm at ch 101 and I don't really like the Tang's lady stupid behavior. She is just stupid I feel like she could just hinder whatever Jinmu's gonna do. Even Chungwoo is annoying in my eyes yk. ╥﹏╥