If you were on a small commmittee that met once per week, and one of the other members appeared to dislike you, how would you handle it?

I am on a small committee at work, 3 members including me. We meet once per week, Wednesday afternoons (hello, that’s today!). One of the other two members appears to dislike me.

The committee meets at my job, and the other two members come from other locations. This one person who appears to dislike me will say hello when she arrives and goodbye when she leaves. Other than that, while in the meeting she won’t say much to me, unless I address her directly. I will enter the room and greet both of them, and if I make small talk, I will address it to both of them, i.e. “What did you ladies have for lunch today?” If she makes small talk, she specifically addresses it to the other woman, i.e. “Mary, what are your vacation plans this summer?”

The woman who appears to dislike me is the head of the committee. I am there because our boss put me there. My time in the meetings is somewhat uncomfortable, because I feel like I am not there. She can act hostile, not to me, but in general, she acts kind of huffy, with an angry face and tough demeanor. That does not intimidate me, because we’re all adults and we’re all professionals.

Last night we attended a meeting at another location, where there were about 100 other attendees. She passed me several times, looking away each time, which was not surprising.

I’m not a rat, so I won’t tell our boss about what’s going on. Other co-workers tell me this woman is territorial, and perhaps she had another friend in mind for the spot that I’m in.

Should I be overly sweet to her, to force her to talk to me and bust her chops? or should I continue doing what I’m doing? or something else?