I'm actually gonna elaborate on that First Order Gender Post a bit.
So. The thing is. In real life, it isn't uncommon for people who've experienced abuse by men to develop an aversion to men.
But the other thing is...people in real life are also existing in a world where violence and abuse are frequently (a) gendered, or at least (b) socially framed as gendered. In a society that is systemically patriarchal and misogynistic, people are taught basically since birth that men have a monopoly on physical strength, authority, violence, and the ability to inflict trauma. People are taught to view "violence" as something distinctly male. This is part of why abuse by women isn't taken as seriously; society doesn't treat women as fundamentally capable of being perpetrators of real, serious abuse or assault.
So, when a person who has been abused by a man develops a fear or distrust of men as a result, it's not just their individual trauma that influences that fear; it's the combination of (a) the fact that they personally experienced violence at the hands of a man, and (b) the fact that they are taught over and over and over again since day one that this is basically normal and inevitable and something any man might do.
(This isn't intended to discredit such trauma responses or deny any gendered violence statistics in real life, for the record; it's intended to illustrate that there is a strong socialization factor in why "I was abused by man/a man" so often translates in victims' minds to "therefore, I cannot trust men in general not to hurt me.")
The reason why I don't believe that Hux would develop a similar fear/distrust of men is because, as he was not raised in a society that treats violence as a Male Thing, he would have no reason to see his father's gender as a significant factor. In his culture, violence is something everybody is expected to be both a victim and a perpetrator of. The notion that "victimhood = feminine & perpetration = masculine" is simply not culturally present.
What is very much culturally present is the idea that violence is tied to hierarchy and rank. In the First Order, there is no societal expectation for women to endure mistreatment by men, but there is a societal expectation that citizens will endure mistreatment by their superiors. That authority gives people the right to treat their subordinates however they like, up to and including physical violence--and, while this one isn't touched on in canon as far as I know, likely sexual violence as well.
Abuse occurs (or rather, is commonly believed and expected to occur) not on a male-female axis, but on a superior-subordinate axis. We also know that most of the high-ranking officer ranks in the First Order are occupied by older officers, especially Civil War veterans who previously served the Empire.
What this means is that in terms of who Hux would have been conditioned to see as "potential abuser" material, it makes very little sense for him to associate his father's gender with that abuse; it makes a lot of sense for him to associate it with his father's age group, though. And with the idea of not being in charge. Any situation where Hux isn't the ranking officer in the room is, in his mind, a situation where somebody could feasibly hurt him, and those situations are likely (until he takes over the army) to involve older staff.
I don't think Hux's lack of any gender-related biases is because he's somehow too logical or smart to fall for that sort of thing; I think if he had been raised in a society with similar patriarchal norms as real life, he would probably be distrustful of men because of his father. But he was raised in a non-gendered rigidly-hierarchical society where the primary predictor of abuse is rank, and we see no indication that the ranks tend to be gendered.