You're weapon may be more elegant Rare, but AJ's will give you more shots and greater accuracy. You'll be luck to hit anything more then 10 feet out with that thing, and it will take some time to reload.
Both fair points, but rifling and minne balls were not common with flint lock weapons. They tended to be (but admittedly not always) smooth bore and mostly fired balls. It would be more likely if she had a precision cap pistol. Even with a cap pistol, accuracy over a range isn't to great. My money is still on AJ.