Some of the more traditional pure - blood families in the wizarding world might oppose their union. They have strict ideas about blood purity and think that Daphne should marry within their own social circle. They could use their influence in the Wizengamot or other wizarding institutions to try to stop the marriage.
The Malfoy family could be antagonists. They might see Harry as an enemy still and not want Daphne, a pure - blood, to marry a half - blood like Harry. They could try to create problems between the two, spreading rumors or trying to sabotage their relationship.
In the 'Harry and Daphne baby fanfiction', it could be a new dark wizard who rises to power. This wizard might believe that the baby has some sort of power that could stop him from achieving his goals. So, he makes it his mission to eliminate the baby. Also, there could be some magical creatures that are being controlled by a dark force and are sent to attack Harry, Daphne and their baby because they sense the baby's potential power.
The Dementors could be the main antagonists. They are always a threat in Azkaban, sucking out the souls and happiness of the prisoners. They would be constantly trying to get at Harry and Daphne.
Some of the pure - blood supremacist families who still hold grudges against Harry could be antagonists. They might not approve of Daphne getting involved with Harry, seeing him as a threat to their traditional values. For example, some of Daphne's extended family members who are still stuck in the old ways could try to break them up.
Maybe an old enemy of Natsu's resurfaces. This enemy is jealous of Natsu's newfound happiness with Cana and tries to take Cana hostage to force Natsu to fight him. This would create a major conflict in the fanfiction.
Perhaps there are other divine beings who are jealous of the cat goddess's relationship with Naruto. They could see Naruto as an unworthy mortal and try to disrupt their marriage. These divine antagonists could use their powers to create all sorts of troubles for Naruto and the cat goddess, like causing natural disasters or sending powerful minions to attack them.
In this fanfiction, the antagonists might be a group from Koneko's world who oppose her relationship with an outsider like Naruto. They might fear that Naruto will bring chaos or change their traditional ways. They could try to separate them by any means necessary, including using their own unique powers against Naruto. Also, some of the rogue ninja from Naruto's world who are jealous of Naruto's new relationship could also cause trouble.
One likely antagonist could be Draco Malfoy. He's from Daphne's social circle and might not approve of her being with Harry. He could try to expose their relationship out of jealousy or because of his pure - blood supremacist views.
The Ministry of Magic could be the antagonists. Since Harry is in a gang, they might see him as a threat to the order of the wizarding world. They could send Aurors after him and his gang mates, trying to arrest them and break up the gang.
One possible plot could be that they meet during a post - war Hogwarts rebuilding project. Harry is impressed by Daphne's intelligence and determination, and Daphne sees Harry in a new light, different from the Gryffindor hero she thought he was. They start to work together on projects, which leads to them falling in love and eventually getting married.
Dark wizards or witches who are on a power - hungry spree could be the antagonists. They might see Daphne as an easy target or a way to get to Harry Potter himself. So they kidnap her to lure Harry into a trap.