A disorderly conduct in NYS (240.20) is a violation and not
a crime. That said, a NYC firearms permit is discretionary. And even though the infraction you are talking about is less than a misdemeanor
and not a serious offense, if what you were alleged to have done shows you to be someone who lacks the moral character to have a firearms permit, the authorities will not renew it.
See the Section of the NYC Administrative Code below which lays out what can cost you your city license:
b. No license shall be issued or renewed pursuant to this section except by the police commissioner, and then only after investigation
and finding that all statements in a proper application for a license or renewal are true. No license shall be issued or renewed except for any applicant:
(1) of good moral character;
(2) who has not been convicted anywhere of a felony or of any serious offense;
(3) who has stated whether he or she has ever suffered any mental illness or been confined to any hospital or institution, public or private, for mental illness and who is free from any mental disorder, defects or diseases that would impair the ability safely to possess or use a firearm, rifle or shotgun; and
(4) concerning whom no good cause exists for the denial of a license.
If you don't have a NYC firearms permit but have a NYS license for your gun, you have no right to possess your firearm in NYC at all. The only exception for that would be if you have the handgun in a locked container and you are passing through NYC in one continuous non-stop trip. Otherwise, yes, you will lose your license.