A rude introduction can leave a negative impression and create a barrier in communication. Instead of using the word "rude introduction," there are varying synonyms that can effectively convey the same meaning. For instance, a brusque greeting can come across as cold and unfriendly. An impolite salutation can be disrespectful and offensive. A curt welcome can be interpreted as short and dismissive. A blunt opening can be perceived as insensitive and abrasive. Therefore, it is essential to choose your words carefully when introducing yourself or others to avoid causing offense or discomfort to those around you.