If you’re a female and often dream of fighting with another female, it can mean you’re insecure, or egoistic, jealous, or having a psychological issue.
The same gender character could be a manifestation of yourself, in a different personality. Your inner and outer perspectives may be at odds with each other. You may be having a conflict of interests.
If you’re female and dream of fighting with a male, this dream may hint of gender differences, inequality or discrimination issues.