At the parking lot, when Qiao Sijia blocked Lin Xi's way, she had no intention of hitting Lin Xi. She only wanted to verbally humiliate her and then force Lin Xi to leave Wang Yu of her own volition. However, she hadn't expected Lin Xi, in a fit of rage, to actually slap her across the face.
Being slapped is something anyone would retaliate against, so Qiao Sijia, not caring about the consequences, ended up fighting with Lin Xi.
After being stopped by security, Qiao Sijia had considered the possibility that Lin Xi would tell Wang Yu about the incident, but what was done was done, and it was irreparable. So she decided to put on a performance in front of Wang Yu another day and blame everything on Lin Xi.