Well, as LeBlanc, you really should be trying to avoid front-line confrontation and look for specific angles or flanks to engage. Pretty much what it comes down to when playing against point-and-click CC is just waiting for the opportune moment when they eventually are forced to use their crowd-control on something other than you (perhaps your AD or frontline).
I don't really find Annie to be particularly difficult to play against as LeBlanc during skirmishes/teamfights because her engage pattern is so linear and obvious, and can actually be avoided and juked, along with the follow-up damage. If she tries to W/R you, then there's a chance she can miss since you can avoid it with Distortion. If she Q's you, just get enough distance (or damage) on her and make the stun irrelevant.
Don't telegraph what you're doing as LeBlanc so much and you'll find that playing to her strength (being tricky and deceptive, as her character suggests) will benefit you across the board.