I'm looking forward to seeing more of this. A genuine example of 'doing right for the wrong reasons' and doing some actual examination of significant culture clash. So far the only glaring trope is having her and her swords (well, all weapons) be OP, although it'll be interesting to see what happens when she starts trading knowledge with the local swordmasters, weaponsmiths and potential mage tutors.
From what I can tell, the humans of the isekai would do well to just keep pointing samurai girl at the monsters and she'll happily pave the way to their peace (until she dies). But that would make things too easy, huh.