let me guess, she’s short and you're over 6 feet correct?
10 to 1 it's all in your head dude....there will be a hot chick in the gym and every single guy in there will think she giving em "the eye" or wants their cocker. i laugh at the shit i hear around the gym.
if you approach her do it casually. "hey how are you" as you walk by, or wait to ask her for a spot when no one else is around and start small talk....this is why they started making gyms just for women, so they can actually workout without 50 pairs of eyes staring at their crotches as there doing the thigh machine.