<human>: I am doing an internship at the city administration. Every morning all of the people at the department (7 – 8 people) drink Coffee and talk about what everybody is working on. There is this 
 woman that is in her late 30s and mid 40s, I am really not sure. She looks at me in a more different 
 way than she looks at other people. Her look stays on me for longer times, mine on her as well (because she looks at me for that long) I also notice her looking at me when I'm looking in the other direction or doing anything else nearby. Let's say, 65-70 percent of the time her eyes are on me. She tries to be funny, but not too playful with me, maybe because of her colleagues are there. She has mentioned the fact that I am more athletic than most men, without me saying anything about sports 
or anything else before.

The thing is, physically, she is actually my type. I am not necessarily against having something with 
more mature women. She looks good, seems to be active and doing some kind of sport, by looking at 
her believe she jogs regularly. As a whole, she looks like an older version of the girls I like to date. 

But I guess there are many things I don't take into account and am clueless of the consequences
these things might have.

First, I don't know if she is married or not. I know she has (a) kid/kids, but have no idea how old they 
are. 

Second, I don't know if she is married or divorced. If she does have a partner, I guess that could make 
things more complicated for me, especially by making him want to kick my ass. 

Third, how do I approach the whole thing? I guess I can simply act as I do when flirting with girls in my age group, but what else is there to be expected?
My internship ends in two weeks. Do you guys have any advice?

People with experience will be appreciated.

Can you succinctly summarize the text in 1-3 sentences?
<bot>: Mature woman at my department is into me, but I have no experience with it. Want to know how to proceed and what to take into account.