As far as the Federal government is concerned, whether the state calls your conviction a domestic violence
offense or it doesn't, doesn't make a difference. If the case makes out the elements of a domestic violence offense according to the federal definition of it, then the defendant loses his Federal gun
THe definition is found in 18 USC 921
the term “misdemeanor
crime of domestic violence” means an offense that—
(i) is a misdemeanor under Federal, State, or Tribal  law; and
(ii) has, as an element, the use or attempted use of physical force, or the threatened use of a deadly weapon, committed by a current or former spouse, parent, or guardian of the victim, by a person with whom the victim shares a child in common, by a person who is cohabiting with or has cohabited with the victim as a spouse, parent, or guardian, or by a person similarly situated to a spouse, parent, or guardian of the victim.
So if what you pled to does not allege force or attempted force or threatened use of a weapon or if the complainant is not your former spouse parent, guardian, etc., then you can appeal the denial of your gun rights. You can appeal this by following these instructions.
If on the other hand the statute does support the federal definition of Domestic Violence, then under the Lautenberg Amendment, until the law changes, the loss of your Federal rights is for life. You can try to get a pardon from the governor on the disorderly conduct, but the Feds do not have to accept it.
Here's the statute under which you pled guilty:947.01 Disorderly conduct.
(1) Whoever, in a public or private place, engages in violent
, abusive, indecent, profane, boisterous, unreasonably loud or otherwise disorderly conduct under circumstances in which the conduct tends to cause or provoke a disturbance is guilty of a Class B misdemeanor.
(2) Unless other facts and circumstances that indicate a criminal
or malicious intent on the part of the person apply, a person is not in violation of, and may not be charged with a violation of, this section for loading, carrying, or going armed with a firearm, without
regard to whether the firearm is loaded or is concealed or openly carried.
I'm very sorry to be the bearer of bad news.
If on the other hand,