Obviously I cannot completely guarantee that the police will not take action but they will take into account the following factors
1. The police were not called at the time and the incident only reported weeks later
2. There were no independent witnesses
3. No one was hurt
4. No one else, neighbour, reported it
5. The police are aware that domestic situations can lead to strong emotions and generally give some licence provided, as here, no one is hurt and no real harm is done.
For these reasons a prosecution is very unlikely