My weakness to girls in uniforms, particularly those /fa/cist ones would probably have me hailing her hydra within a week.
Would try and keep it on the down low though, she'd probably get bored and wouldn't respect the heroic persona if you just fell into her like that. Just, you know, keep the police mugshots of her in my alter-ego's locker. Yeah, that's the way to do it, try and get close to her as your 'everyman' persona, while publicly thwarting and eluding her as the heroic one.
Even better, if you get caught, you can always cover for yourself by claiming to be doing 'covert surveillance and subterfuge.'