When Tang Ze was telling his story, Cao Yixuan had already left, missing the chance to understand Tang Ze's life experiences. Of course, had Cao Yixuan not left, Tang Ze might not have so readily opened up about his wounds—because he cared, he had reservations.
Even though the main subject wasn't there to hear it, deep down, Tang Ze hoped that Cao Yixuan would know. While he didn't wish to receive sympathy or pity, deep in his heart, he yearned for Cao Yixuan's response.
In truth, if you care enough about someone, you naturally become a collector of information about them.
Even though Cao Yixuan wasn't present at the time, someone had already informed her of this "gossip" at the earliest opportunity afterward.