And
@Lascien
The thing(s) needed to take into consideration are: this is a world of magic, even if her country is the only one that births people with special abilities, it is, by definition, a world of magic. Given that, the gun could be explained away as "shooting magical bullets" or "magically shooting bullets".
Even disregarding that another two things that need to be taken into consideration: just because one (or more) aspects of technology are (apparently) advanced to one level, doesn't require
all aspects of technology to be advanced to the same level. Yes, they use swords, but that doesn't require them to have not advanced better firearms technically than that of the people of our Earth around the same (apparent) time (more on this in a moment). Secondly, and related, the world she is in is "based off of" a fictional world she experienced in her original world (can't remember if it was a game or a book, etc), therefore the varying aspects of technology are much more likely to be screwed up as the original creator of that fiction could add whatever they wanted to the story to make it interesting,
especially if it was a game (take World of Warcraft as an excellent example).
With regards to them still using swords if they have guns equal to or better than modern pistols, this could easily be explained away by the same bullshitery that other fictions have utilized when introducing monsters to the modern world and
wanting magic and swords to be the primary weapons used (basically forcing classical fantasy into the modern world) and that is to make the BS claim that a lump of metal projected at extreme speeds at a solid mass could be rendered utterly ineffective with magic (but a sword "wrapped in" magic or blessing or something, and ranged magic would override this effect -- the BS here is two fold: if ranged magic works and swords can have the effect applied to them then there is absolutely no reason that this effect could not be applied to bullets; and if a lump of rock being projected at less speed than a bullet is effective enough to break the absolute magic barrier, then a bullet at vastly superior speed could as well).
In less words: bullet is not magic, magic required to defeat (some) enemies, sword affected by magic, sword required to defeat (those) enemies. Guns exist but only useful in limited situations because not magic.
It's absolutely BS because if A is affected by magic, and B is made of the same stuff as A, AND magic is effective at range, then B is affected by magic and useable...
tldr: you are assuming that their firearms technically is what it appears to be (or equivalent of real world same "age" as other seen technology. It doesn't have to be. There are plenty of possible reasons that the gun could be equal to a modern pistol (even a submachine one) and they still use swords.
And... AND it could simply be the original author thinking: gun = cool, shooting gun fast = even more cool, make bad guy shoot gun real fast to make bad guy cool and dangerous; and not thinking about the logistics of what they are doing (which is honestly the most likely thing).
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