Hey, just throwing in my 2 cents here. I don't play as noel, but I used fight her alot online so I think I know a little on how noel can kick my ass.
Basically, yeah, getting in the air is risky for noel. The a good nu won't throw out swords willy nilly, but there are several other ways you can get hit, either a sword wave or a TKed qcb D or a 2d. Gravity Wells are also very dangerous to Noel. They serve to break momentum and can lead to nu applying all sorts of counter pressure.
Pressure on V13 needs to be constant and against scrubbier nu's, you can throw out a lot of stuff while they just try to get a C move. A good nu will use 2a,2b,2c,6c, Act Pulsar as a method to get out of pressure. This can somewhat limit your mixup as trying to hit with something that has too much startup will just let them escape. Also be careful for the Giant Sword Super, if you don't hit her within the first few frames then it will still come out.
I guess I don't need to mention that if Nu has meter you need to be even more careful with your approach and be careful when blocking (because you might eat a high/low and a followup).
Sorry if I'm not any more detailed, these are just the sorts of things that tend to work for me.