What I mean by stubborn is: Won't admit she likes him when she eventually does, turns him down repeatedly, thinks and says "I can't/won't date a guy like him, how can I love/like a guy like him! etc
The manga should start off with the main character falling in love with the female love interest first. The MC should then go after her and she should refuse him(for whatever reason, social standing, not being inlove, whatever). Eventually his earnestness and seriousness of his feelings should get through and she should "give in" and reciprocate his feelings.
A pretty good example of this is Unbalance X Unbalance
Spoiler (mouse over to view)
The protagonist falls in love with his teacher, boldly and straightforwardly expresses his love etc, but because shes a teacher and has a bad impression of him at first she doesn't like him and is reluctant to admit the feelings she develops eventually
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Feed your head.