“Whoever does not receive you, nor heed your words, as you go out of that house or that city, shake the dust off your feet. Truly I say to you, it will be more tolerable for the land of Sodom and Gomorrah in the day of judgment than for that city” (Matthew 10:14-15).
Rejecting Christ is of greater consequence than the most obscene sins of these ancient cities. That some are unreceptive to the witness of your faith doesn’t mean the mission has failed. Such a response isn’t the rejection of you but the One who sent you do his work and be his presence. While we have been entrusted with a message of eternal weight, we do not answer for the decisions that others make.