<human>: It all started this spring. She came to our office and, after weeks, I started catching her throwing glances at me. But nothing TOO intrusive: it just became stronger and stronger, gradually, over time. Sometimes she turned her head, even walking down the corridor, to look at me. Other times she gave me a smile, after good 3-5 seconds gaze.

It felt very flattering and heart-warming, but I didn't do anything, because at the time I had a GF and wanted to stay loyal. But last month we broke up for unrelated reasons. I realized that after all these months, that girl in the office was still looking at me, although less vigorously - maybe she was tired of waiting?

Anyways, I finally started looking and smiling back at her, because it felt so magical and intimate. We also had our first conversation via online communicator - but we only discussed work-related topics.

I think she will be gone in a couple of weeks because her internship will come to an end. So I must act quickly, but not rush things. How I should play 'my cards' at the moment? I'm not 100% sure she's ready for dating me and all, and I don't want to make impression of being desperate. Maybe I have misinterpreted her intentions? Is it possible?

But on the other hand, we probably don't have much time left for casual workplace chit-chat. 

Please give me advice on that matter. If more information is needed, feel free to ask.

Condense the text into a few key points
<bot>: I had first conversation with interesting girl at work, who was looking at me and smiling for months. What should I do to avoid mistakes and interpret her intentions correctly?