Twilight actually isn't an example of this trope. The heroine in that immediately and constantly has romantic interest in the male lead--no need for him to convince her. Her friend, who has a crush on her and thinks he can convince her to date him instead because he's better, doesn't end up with her.
I was iffy about listing it initially, but even though Bella and Jacob didn't end up together, I still think Jacob's character is an example of this trope, because Bella does end up admitting in the 3rd book of the series that she loves him after Jacob guilt-trips her into kissing him, to the point where she could visualize their future together. Even though her love/infatuation with Edward overrode everything else in her life and she told Jacob multiple times that she was in love with Edward and that would never change, Jacob still wore her down and pushed his case and Bella eventually admitted that "Jacob was right," and
THAT is one thing that really got my hackles up about the story -- that Jacob's character wouldn't accept what Bella was telling him but instead he approached it as, "Bella is in love with me too, she just doesn't know it yet, and I need to convince her." I won't go into which male character I think is better for her because frankly, I would have loved for her to have been single at the end of the story!
Good point about the gender disparity, Allyson. I agree that it's seen as harsher for a man to reject a woman than vice versa. A podcast I listened to once had the hosts (straight males and a straight female) asking each other: When you're walking down a street, of all the people you see of the opposite gender, what percentage of those strangers on the street would you be physically attracted to enough to agree to a date? The guys claimed around 75%, the woman, 5%. If this statistic is reflective of most straight people, then no wonder it seems harsher for a woman to get turned down, and for it to be not as surprising when guys get turned down.
Bottom line is, no one is obligated to date anyone just because they're asked, and in an ideal world, no one would be subjected to unwanted attention or suffer from unrequited love. But since we live in reality, we have to equip ourselves with the tools to handle it as best we can.
Aria, how are you doing? Has Peter tried to contact you again?