Undeterred by means that someone is not discouraged or influenced by something negative. Some synonyms for undeterred by include unfazed, unaffected, unswayed, unflappable, unshaken, unyielding, determined, persistent, and resolute. These words convey a sense of determination, strength, and courage in the face of adversity. They show that a person is not easily discouraged or intimidated and will continue to pursue their goals and dreams despite any obstacles in their way. Using these synonyms for undeterred by in your writing adds depth and nuance to your language, creating a more interesting and engaging piece of work.