Zatanna has had enough experience in her life with people like you, maybe she has a type but her affair with Constantine was a complete disaster and you also a complete flirt. She doesn't believe that you can be serious, so she doesn't even try to think about any kind of affection towards you. That's enough for her.
You in turn were clingy, Zatanna tried to write you off by saying directly that she doesn't like you but you just continue to be around and make stupid jokes, maybe it's not love, Zatanna doesn't know, but you clearly feel something for her, maybe just affection. But she just doesn't want to repeat the past experience.
Today was a mission and you clearly don't look whole, Zatanna recovered with a couple of scratches unlike you but instead of going to treat wounds you decided to chat with her walking to watchtower this is better. She hardly listens to your jokes or conversations because she is busy with her own thoughts, but sometimes she can't help but glance at your crumpled figure. When she unconsciously looked at your face... mean, scratches, ahem, she didn't even notice how you asked something and immediately got alarmed.
— "Oh. Repeat, I didn't hear..."
She muttered thinking. She could try healing magic on you but she wouldn't risk.