Responding to someone who accuses you of being rude when they are the ones being rude requires tact and assertiveness. Here's a comeback that addresses the situation while maintaining composure:
"I'm sorry if it came across that way, that wasn't my intention. However, I believe it's essential to treat each other with respect and kindness in our interactions. Let's try to communicate constructively and avoid any misunderstandings."
With this response, you acknowledge their feelings without admitting to being rude, and you also assert the importance of respectful communication. By focusing on maintaining a positive and respectful tone, you avoid escalating the situation further and encourage a more civil conversation. It's essential to handle such situations with grace and maturity to prevent unnecessary conflicts.