"thirsty man" refers to someone who is very eager or desperate for something, usually in a figurative sense rather than being physically thirsty for water. Full definition
We could easily have been two penalty tries down and two players short before thirsty men who take a long time to pee had time to take up their seats. (independent.ie)
Your bible which teaches you to perform baptism for the dead, also shows that your anthropomorphic God is a blood thirsty man. (religion.blogs.cnn.com)
Before his judgment seat they expect to be required to give account not for their treatment of the limited number of friends and neighbors of the finite Jesus, but of all the sick, imprisoned, hungry, thirsty men of the world — the neighbors, brothers and companions of an omnipresent being. (religion-online.org)