Since I play both Noel and Bullet, and I can provide some unique insight.
For starters, be very wary of her J.C Normal. It's a little slow to start, but is still one of the better jumping normals in the game. It has a large hitbox, hits overhead, and has a LOT of untechable time on counter hit. Don't in any way underestimate this jump in!
Also, after a J.D Knockdown midscreen, Bullet players can pull off a nasty cross up by air dashing over you as your waking up, then hitting you once more with he drive. So if they jump over be, be prepared to block the opposite direction!
Her mix ups are no where as scary as someone like Rachel or Izayoi, but she still has some tricks up her sleeve. 6.A is a very slow, but very subtle overhead, so watch out for it. It also makes a great combo starter. Her Drive has the capability of creating situational 50/50 mix ups by inputting 6D (Which is an over head) or 2D (Which Hits low) The starting animation for both also look similar. There's also the cross up mentioned before.
Honestly, this match up favors who ever can land the first hit and start mounting their offense because of Noel's and Bullet's below average defensive options and their offensive potential.
This can either turn into mere target practice where Bullet is Noel's target... OR Bullet can make Noel her little bitch.
To put it in perspective, I went up against a Bullet Player who scored a perfect victory and just barely won a round in one match, I faced the same player a second time, and I scored a perfect victory and steamrolled the rest of the match.