Why does this girl talk to me?

Sorry for my social retardation. At work, there's this one cute blonde chick who sometimes tries talking to me but I can sense her secret hatred for me. One time, I was just sitting on my break and she asked me if I was having a good day. Today, I asked if she wanted to see me dressed up like a woman and she just stared at me for a while before replying with a no. She then asked me to go outside with her because she needed to smoke. She talked as if I needed to go outside with her like I was her hall pass or something.

there's not much to go on here. nevertheless.

you're being somewhat condescending by referring to her as a chick. my suspicion is that you're denigrating her in order to make the rejection you anticipate from her more bearable, as you also refer to her as cute. you also appear to be making a baseless assumption that she hates you, given that this hatred is supposedly secret. my suspicion is that you're projecting your own issues onto her.

as for her asking if you were having a good day, that's just typical small talk. however, it does serve to indicate interest in you too, as it's a personal enquiry into your wellbeing. your asking if she wanted to see you dressed up like a woman is, without any context, a bizarre question. most people would find such a question fairly off-putting. however, despite this she still sought your company whilst wanting to smoke. this again shows interest in you.

so, in respect of why she talks to you, my guess is that she has some sort to desire to get to know you better. unfortunately, you don't seem to be repaying her compliment.