I am curious about Paul’s usage of the word ‘godliness’ (eusebia) in his letter to Titus on several counts. The first is that Paul makes it clear throughout the letter that the pursuit of godliness is a normal practice in the life of the believer. In the very first sentence he writes:
From Paul,a slave of God and apostle of Jesus Christ, to further the faith of God’s chosen ones and the knowledge of the truth that is in keeping with godliness, in hope of eternal life, which God, who does not lie, promised before the ages began. (NET Bible)
Second, each passage in this letter that deals with the core teaching on salvation (i.e. that salvation is provided freely by God’s grace and mercy and not because of any of our doing) inevitably concludes with an exhortation to godliness being expressed through good works (2:11-14; 3:4-8). Godliness, then, is the outworking of the inner work of salvation and it is expressed in good works. The entire letter seems dedicated to describing what godliness must look like in the lives of God’s people. That ‘look’ is linked to living righteously, "denying ungodliness", and doing good works.
Third, Paul exhorts Titus to challenge all of his listeners to lives of godliness. The challenge is thrown out to church leaders (elders and overseers), to men and women, to husbands and wives, to young and old, to slaves and freemen – godliness is for all.