Synonyms of undiscouraged

2 Syllables
gallant, steadfast, spunky, icy, fearless, dauntless, valiant
3 Syllables
unflinching, undaunted, fire-eating, intrepid, undismayed, unshrinking, courageous, unafraid, audacious, valorous
4 Syllables
unfaltering, unalarmed, resolute, undeterred
5 Syllables
indomitable
6 Syllables
unapprehensive