Is this messing up the chemistry?

first off it is a provider/client relationship...The client has been giving me the eye for the past 3 weeks. and by giving the eye i mean more than obvious looks. they only show up once a week, but when they do i make sure they know that they are the only person in the world to me. While they are there i am constantly telling everyone around me how she is always the most attractive women in the building. i would approach her but i am not about to lose my job over it! even if the situation was right at work were the conversation could be discrete, i would definitely approach just to find an answer. I think she notices me telling all my peers how attractive she is and that is what might be repelling her. i am not sure??? but yet she still comes in on the same day like clock work and pulls the same stunts, so im 99.9% positive im not creeping her out. she comes in before i notice, once i do notice we exchange multiple looks, then she disappears. i don't even see her leave!!! is she just teasing? does she like the attention enough to come each week for more? does she want more? is she wanting me to make a move?? idk...help me out!