Few quick things, 3C and Cat Staff are amazing in punishing Lambda's 214D (Spike Chaser). If your opponent likes to spam that on your wake-up and they're near by, throw it out to stop them. Dash 5B catches her backdash and from there you can 3C 22C her to stay on her easily. This match-up is momentum based and requires you to keep her out of her comfort zone. Stay on her! Do not let her be more than mid-screen away from you, especially if you don't have the appropriate item equipped. Oh yes and Bombs are extremely good in this match, they go through swords and stop her from escaping from the air if she's in the corner.