How do some of you evangelize? If I told an atheist that he will be annihilated if he didn't believe, he would gladly reject anything else I say...
I am curious for an answer.
It is God's goodness that leads men to repentance. That is your starting premise. Not Hell, but God's grace. You reveal that while Hell is a reality, it is not an ultimatum of choice/demand but rather of circumstance. You explain historically what happened with Adam and Eve, its consequences on man, and what God the Father decided to do (send Jesus). God isn't out to get them for their sins or punish them, but Jesus, Himself, took the penalty of their wrongs. You inform them that God doesn't hold their sins against them, that Christ is the propitiation, and that He wants to be reconciled to them.
He doesn't condemn them, His desire is that they be saved. You don't need to threaten a person and use Hell, condemn them for their sin or anything of that sort. The Holy Spirit will convict them of sin, righteousness, and judgement. Your job is to tell them the good news of Jesus Christ, and minister to them love. Operate in the gifts the Lord has given you, and operate in authority (the name of Jesus), to bring healing (sometimes physical, sometimes emotional). You, working with God, reveal to them His goodness that leads them to repentance.