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ojoudere That's actually part of her hang up here. There're two parts to it.
The first is she still thinks that things will go like in the book. She hasn't grasped that with the specifics of how she changed the story, the princess she thinks he's gonna fall head over heels for has ZERO chance. The princess never got a chance to repair her relationship with Alejandro, so she's literally an open emotional wound for him and absolutely NOT someone he wants to even see let alone fall in love with.
Second, her desire has always been to SUPPORT him. This isn't a case of being isekai'd and persuing your favorite husbando/waifu. She wasn't looking to become his lover, but his support. On that front, it's LOGICAL that her continued presence can be just as damaging, possibly more so depending on political bullshit and the level of bastardness of the king and other high ranking nobles, as it can be beneficial.