Give your characters a reason to have a conflict. Some kind of situational disagreement. Usually conflicts happen because two people have different views on the way things *should* be and see each other as an obstacle. It's better as something related to the overall plot of your story, and not something that is happening for no reason.
While it is true that there are some types of conflicts that are unique to women interacting with each other in real life, usually it seems to be a bad idea for storytelling. Because it's very easy for attempts to do that to veer into the stereotypical. We've all seen the bossy vapid Queen Bee a million times.
Mean Girls did it well, but that was satire (satire that seems to go over people's heads, as I have seen a lot of people trying to emulate the Plastics, when the whole point of the film was supposed to be that you should NOT want to be like them. Sorry, unrelated microrant)
Perhaps it would be best to start writing a practical plot-situation based conflict and then enhance that with elements of gender-specific conflict. That would probably help to avoid the stereotypical situations.
Now I am going to get into trends. Please don't take this next part as me saying all women are a certain way, all men a certain way. This is just my understandings of what is more commonly seen in either gender.
I think one of the key differences between male hostility and female hostility is that with females, it is usually indirect. It's more common for a woman to antagonize someone by being passive aggressive, manipulating, or gaslighting. It's masked hostility. Of course it's entirely possible for both men and women to be that way. But due to cultural expectations women often have to hide their intentions to get away with that kind of thing without being called out for it. (And when they do get called out, they respond with denial and that escalates the conflict) Whereas for a man, being more directly confrontational is more socially accepted and often even encouraged.