"Free-minded" refers to someone who has an open and unprejudiced way of thinking, who is not bound or limited by narrow beliefs or traditions. Opposites to this trait include close-minded or narrow-minded; this describes someone who is unwilling to consider new or different ideas, who sticks to their own beliefs regardless of evidence or opposing viewpoints. Another antonym might be intolerant, describing someone who is unwilling to accept or respect ideas or people that do not align with their own worldview. Other possible antonyms could include dogmatic, doctrinaire, or inflexible, indicating someone who holds rigidly to a particular ideology or set of principles, without any room for other perspectives or approaches.