The antonyms for the word "evenhandedly" are biased, unfair, partial, one-sided, discriminatory, and prejudiced. These words describe the opposite of being fair and impartial. When someone is biased or partial, they have a tendency to favor one side over another, which ultimately leads to unfair outcomes. Discriminatory and prejudiced individuals hold deep-seated beliefs and attitudes that prevent them from being evenhandedly. Thus, it is essential to maintain an objective and neutral approach when dealing with sensitive topics or conflicts to ensure that all parties involved are treated fairly and justly.