What does "possibly" mean to a girl?

Long story short, Ive knowing this girl for a couple years now. Were never close friends. But I know she finds me attractive, we've been working together for about half a year now, and just began talking/texting more after I told her I have just gotten out of my previous relationship. Though the question I was asking was, what does possibly mean to a girl. We were texting about how she was going to quit work, and this is what happened:

HER: If not I'm quitting
ME: but I haven't even taking you out yet
HER: how does that effect me not working there
ME: You got me there haha
HER: hahah
ME: Are you free next week at all
HER: Possibly :)
ME: Let me know

We continued to small talk after that, but there you have it. Didn't close it off at the end as good as I think I started. But what do you think..

well possibly coul mean alot in a girls eyes but from the way the conversation went and the fact that you all still talk i would say that you my have a good chance at getting her to go out with u, and if after a day or two still no word i would just ask her again and see what she says i mean yall are still talking! wish u the best and let me know wht happens