Who is Min Farshaw from A Crown of Swords and what is their importance?

Min travels with Rand. There are several men that either look at Min or comment on her beauty. She is in love with Rand, and Rand loves her. She tells Rand that she doesn't care that he also loves two other women. Min refuses to leave Rand when he tells her that he wants her to go for her own safety.

Min can read what is in people's futures. She has trouble reading around Aes Sedai, presumably because of their capability to channel, but she can read Rand's. Min tells Rand most of what she sees, but there are some things that she doesn't tell him. She does not tell Rand that she sees that without a particular person