Nugent pled guilty to committing a misdemeanor. A misdemeanor is a crime.
Nugent, by definition, is a criminal.
A person who has committed a crime.
If asked by a law enforcement officer if he had ever been convicted of a crime, the truthful answer would be 'yes'.
In Utah, it's possible that his permit would be revoked since he has been convicted of (pled guilty to) a crime that some sections of Utah code defines as a crime of moral turpitude; that is, wildlife violations "involving a weapon". Conviction of "any offense involving moral turpitude" is grounds for denying or revoking a permit. Whether to do such is a decision to be made by personnel at BCI.