The term "gunman woman" is quite specific and might not have many synonyms. However, if we focus on the attributes and actions commonly associated with this term, we can find alternative phrases to describe the concept. For example, we could use "armed female" to indicate someone holding a weapon. Another possible phrase is "female shooter," which makes it clear that the woman is firing the gun. "Gun-toting woman" could also work to express the idea of a female carrying a firearm. Additionally, we could use "female assailant" or "female attacker" to describe someone using a gun to harm others. Ultimately, the choice of words will depend on the context and desired tone.