The entire passage of 1 Timothy 3:1-7 should be read but the relevant passage to this question may be verse 7: “He must also have a good reputation with outsiders, so that he will not fall into disgrace and into the devil’s trap.”
The relevant passage of Titus 1:6-9 states: “For a bishop must be blameless, as the steward of God; not selfwilled, not soon angry, not given to wine, no striker, not given to filthy lucre; but a lover of hospitality, a lover of good men, sober, just, holy, temperate. Holding fast the faithful word as he hath been taught, that he may be able by sound doctrine both to exhort and to convince the gainsayers.”
1 Peter 5:5 reads regarding the behavior of a preacher: “Be shepherds of God’s flock that is under your care, watching over them—not because you must, but because you are willing, as God wants you to be; not pursuing dishonest gain, but eager to serve; not lording it over those entrusted to you, but being examples to the flock.”
The Apostle Paul admonished Timothy in 2 Timothy 2:15-16, 24 “Do your best to present yourself to God as one approved, a worker who does not need to be ashamed and who correctly handles the word of truth.” “ Avoid godless chatter, because those who indulge in it will become more and more ungodly….. And the Lord’s servant must not be quarrelsome but must be kind to everyone, able to teach, not resentful.”
In James 3:1, there is the warning, “Not many of you should become teachers, my fellow believers, because you know that we who teach will be judged more strictly.”(by God) This shows that God holds preachers in the church very responsible for their behavior.
All Christians (including preachers) should take heed to these words, “Those who consider themselves religious and yet do not keep a tight rein on their tongues deceive themselves, and their religion is worthless.” James 1:26
As a warning to the accuser of an elder and a recommendation to address a preacher who may violate the standards of conduct, 1 Timothy 5:19,20 says, “Do not entertain an accusation against an elder unless it is brought by two or three witnesses. But those elders who are sinning you are to reprove before everyone, so that the others may take warning.”
In summary, every preacher should be living according to the highest Christian standard as an example of the believers. If that preacher has said something that has caused chaos outside the church, then the 1 Timothy 5:19, 20 is the proper approach.