I'm going to try to be as honest as possible here. If you truly got the feeling that she was flirting with you (ie. gestures, inflections, or anything said besides let me show you around) then you should DEFINATELY call and try to get another interview. Even with that, you're chances are slim. But, if somewhere in your heart you know that she meant no harm in her comment and you're making an excuse than let it rest. Put it this way...if it was a male interviewer and he stated..."hey, I really like you as an applicant and I'd like to show you around later", would you think the same thing? This guy has pictures of his wife and family on his desk and is just trying to befriend you. Was she doing the same thing? I'd be willing to bet that this was the case here. It sucks to get rejected post-interview but I just can't fathom that a professor would put her career on the line for an applicant...no matter how good looking you might be. It's up to you and you're honest gut feeling. For all you know she really liked you (as an applicant) and wanted to make you feel at home and convey how personable the faculty can be...she went to the committee and highly recommended you and you were still rejected.
I have a female friend who interviewed at Yale and was hugged by her interviewer afterwards who stated "I will get you in". They laughed, talked some more, and exchanged e-mail addresses. She was rejected 2 weeks later. I know another who interviewed at Davis where the interviewer told her that she would do everything within her power to get her in...she's still on "hold". My point is, this interviewer could have just really liked you and no matter what she said to the committee you were still rejected. That's just the way things work and it sucks. Please think twice before jeapordizing this womans' position...only do it if you HONESTLY feel that was the only reason you were rejected. Best of luck, and take care.
