I've fought plenty of Mitsuru's online and honestly, the match pretty much comes down to who gets the ball rolling first. Normally, you just bully other characters due to your ability to easily control the mid-range game, but against Mitsuru you want to be a little more patient and cautious in what you do since her mid-range options are much stronger then yours. Try your best to close the distance and get in close-range as your close-range options will beat hers out and her defensive options are very limited. Your projectile helps a lot in this match-up since it can cover your approach or allow for a teleport mix-up.