The term 'insolently PROUD' is a combination of two words, 'INSOLENT' and 'PROUD'. INSOLENT means to be rude or disrespectful, while PROUD means to have a feeling of self-respect or satisfaction. Together, the two words describe someone who is ARROGANT and disrespectful, yet also has a strong sense of self-confidence. This type of person may act in a way that is seen as offensive or inappropriate, but they are not necessarily malicious in their intentions.