It happened after midnight at the 4000 block of Corder Street at the intersection of St. Augustine Street.
Police said two women got into a verbal fight before it turned physical and at some point, one of the women pulled out a handgun during the struggle. The firearm went off, striking the woman in the neck.
At this time, the victim was transported to a nearby hospital and is in critical condition.
Investigators said that the two women were at least friends but were possibly in a relationship.
The gun has not been located, police said, as the investigation continues.