Many fanfictions focus on her forming alliances with outcasts or enemies of Konoha. She might team up with people who also have a grudge against the village in order to seek revenge or change the status quo.
Some fanfictions have Naruto uncovering dark secrets about Konoha. These secrets could be about the actions of the previous Hokages or the village elders. Discovering these secrets makes Naruto lose faith in Konoha and start to hate it.
One common plot point is the secrecy itself. There are often elaborate schemes to keep the marriage under wraps from Naruto's friends and the village elders. Another is the discovery of the marriage, which can lead to a whole range of reactions from shock to acceptance.
Often, in these fanfics, Naruto discovers a conspiracy within Konoha. Maybe some hidden group within the village is trying to get rid of him because they see him as a threat to their power. So they manipulate events to make it look like Naruto has betrayed Konoha. As a result, Naruto is hunted by the very people he once protected. He then has to use his skills and wits to survive while also trying to clear his name.
A lot of these fanfictions have a theme of isolation. Naruto is pushed away from Team 7, either physically or emotionally. For example, they might exclude him from important missions or conversations, which makes him resent them. Another plot point could be a shift in Naruto's character. Due to the hatred, he might become more cynical or bitter, and this change in his personality is often explored in these fanfictions.
I'm not sure of specific 'female Naruto hates Konoha' fanfictions off - hand. You could try searching on fanfiction - dedicated websites like Archive of Our Own or FanFiction.net and use those keywords in the search bar to find relevant stories.
A common plot point is danger. Fem Gaara is often in some sort of life - threatening situation, like being attacked by enemies. Naruto then uses his skills, such as his Rasengan or his ability to make friends out of foes, to save her.
One common plot point is Fem Naruto having to prove herself in the male - dominated Anbu. Another is her dealing with the secrecy and isolation that comes with Anbu work. Also, there could be a plot point where she discovers secrets about the village or her own family while on Anbu missions.
One common plot point is Naruto learning medical jutsu from an experienced medical ninja, perhaps Tsunade. Another is him using his medical skills to save his friends in unexpected situations during battles.
Another reason could be that he witnesses corruption or unfairness within the village leadership. If he sees that the system is rigged against certain groups, including himself or his friends, he could grow to hate Konoha and decide to leave.
A potential plot twist could be that Naruto's hatred is actually a cover - up for his love. He might be pretending to hate Konoha and his family to protect them from a greater threat. Maybe there's an enemy who would target them if Naruto showed any affection, so he creates this false front of hatred.