Many people are manipulative, often without realizing this. In the situation you describe its unreasonable for her to expect you to neglect your parents in roder to be with her, and also for her to insist that you visit her and never the other way around.
Do not acept her invitations to feel guilty. She's being selfish.
She sounds like a thoroughly self-centred, rude, inconsiderate, childish and unpleasant creature - why on earth would you choose to subject yourself to someone like her ? Who proclaimed her a national princess ? I hear nothing wrong on your side, but nothing except red flags on her side.
Manipulation requires 2 to play that game - a manipulator, and someone who accepts the role of manipulatee. Don't accept, and don't play. Drop her and move on, you deserve someone far, far better than this.
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