Antonyms for the term "abusive e-mail messages" would be words that indicate courteous and respectful communication through emails. Some of these antonyms could include polite, friendly, respectful, kind, professional, cordial, considerate, gentle, and refined. It is important to communicate in a manner that is positive and constructive, as this helps to build stronger relationships among individuals. Abusive emails can damage professional and personal relationships and can create an atmosphere of negativity and mistrust. Therefore, it is important to choose our words carefully when communicating through email, and to use language that is respectful and polite.