One of couple tropes i really dislike is when the character is the antagonist of other characters relationship that i can't swallow from how annoying it is...

And why? I may not be the type to control others headcanons or character lore, but i am showing my opinion how antagonism of a certain couple just annoys me, yeah the character may have moments of rivalry with other character or jealousy moments, but i wanted to see also the development How that character learns to mature at accepting their relationship as long they are happy together (something that i could imagine perfectly about Amy Rose in my headcanon about Sonic with Blaze)

Another reason is because people should just ship and let ship, forcing the characters that doesn't exist to have break up for selfish purpose is just quite immature to push that antagonism.