You are in an odd position. Is this a High School Class or College Class? WIll you be in class together often?
This could be a bit of paranoia based on what she told you, or it's really happening and you have the right to be concerned.
I'm very surprised she would bring "her liking him" up to you and still pursue (or admire him) in front of you. If it is a serious issue that is damaging your relationship with her, you may want to bring it up and let her know that it bothers you. At the same time, this may make you seem insecure.
If I were you, and she gave you no reason to believe she would cheat on you, just let it go and realize YOU are dating her and be happy about that. (I've seen my wife check guys out, the same why a dude would check out a woman walking by, I always call her out on it ;) )
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