"Break face" is a colloquialism with a violent connotation that refers to an altercation resulting in physical harm to the face. There are several different ways to express a similar idea without seeming violent or aggressive. "Injure" or "harm" are straightforward options. "Assault" is a more formal term, while "battery" refers specifically to physical contact. "Disfigure" or "damage" could be used to emphasize the long-term effects of an attack on the face. Alternatively, more colorful expressions like "punch in the nose" or "smack in the face" also convey the same idea without being as aggressive or offensive.