The phrase "weary world" refers to a tired and exhausted world. It suggests that the world is burdened, worn out, or fatigued, possibly due to various challenges or difficulties it has faced. Full definition
I broke down into tears: «A thrill of hope the weary world rejoices, for yonder breaks a new and glorious morn.» (sarahbessey.com)
Long lay the world, in sin and error pining «Til he appeared, and the soul felt its worth A thrill of hope, the weary world rejoices For yonder breaks, a new and glorious morn. (relevantmagazine.com)
May your voice crack with tears when you sing anyway how there is a thrill of hope, the weary world rejoices because you are longing for a bit of rejoicing. (sarahbessey.com)