She should never be able to just walk up to you so she needs to use her Q and E to close the gap, save your E for when she does this and she can't really get onto you, she might be able to try flashing onto you at some point but without a lead she can't really 100-0 you before you can flash E to get out(assuming she actually moves in front of you to block you from just using E to escape), though keep in mind she may have gone 12 points in resolve or gotten lucidity boots for the reduced cooldown on summoner spells(you can check this by mousing over her flash on the score screen, if the CD is less than 300 with no lucidity she has the mastery) so her flash might be up again before yours. I run exhaust in most matchups, it's not entirely necessary but it's pretty good vs her, also reduces armor and MR by 10.
If you see her use all 3 Q's rapidly early then that's the time to go in, she doesn't really have anything to fight with at that point.
If she somehow manages to catch back up then building a steraks can help keep you out of burst range.
As an interesting tip there is actually an interaction with Quinns E that allows her to redirect skill shots, if you time it right you can make Rivens R2 go behind her(when your E connects it reorients the person hit, skill shots fire from the direction the champion is facing typically).