Police tend to deliver street justice and beat people up or kill them before they have a chance to go to court, especially in situations like that.
Therefore, you are assuming he will even be alive to make it to court. If the lady is a Christian, then she did follow Jesus command to turn the other cheek and to not go after this guy to press charges.
Let me tell you a story that is not a Christian thing. In Ottawa Canada, you had a black Somali immigrant who harassed or possibly touched a white lady sitting at Tim Hortons on her way to church. The police were called in and the man died as the police beat him to death as he cried for mercy.
Here is the news article on that:
https://www.bbc.com/news/world-us-canada-54574414
Without going further into it, we can see at if this lady is refusing to press charges, it's because she doesn't think this guy should be killed by the police because he punched her face, otherwise that would put her morally in the wrong. Unless the justice system is cleaned up so police are held accountable to the law and don't run on blacks like a pack of wild hyenas then pressing charges is never a solution.