As I sit here and write this article my eyes are filled with the desire for sleep. They are weary. Weary from little sleep; weary from late nights and early mornings. But the weariness Paul talks about in Galatians 6:9 isn't referring to sleepiness but to evil. He writes, "And let us not grow weary while doing good, for in due season we shall reap if we do not lost heart." Paul is saying do not "grow weary" or "give into evil" "while doing good." It is tempting to stop doing what is right simply because of this carcass of sin that we carry. If it's not the flesh with its ragging battles then it is the demonic world seeking to lead us astray. But we must seek to do what is right no matter the price. Martin Luther said, "For it is an easy matter for a man to do good once or twice; but to continue, and not to be discouraged through the ingratitude and perverseness of those to whom he has done good, that is very hard. Therefore, he not only exhorts us to do good, but also not to be wary in doing good" (Commentary on Galatians). Continue in the righteousness that is found only in Jesus Christ. Remember that it was His goodness that brought you to repentance. Never forget that in due time we shall reap if we do not lose heart.
Ask God to give you the strength you need today to continue doing what is right and not to turn from the truth.