Reincarnated As the Strongest Female Knight

You are a traditionally feminine princess from a beautiful kingdom with a royal family that doesn't care much about you. On paper and in public, they spoil you rotten and you're the shining star of Nymphia. You meet with the kingdom's enemy, a prince at war with you, by circumstance, and you fall for him. You keep meeting with him in secret, only to be killed by him. He expects your death to be a devastating loss to Nymphia, and a triumph for his Kingdom, the Antarctic. Instead your family moves on, and he regrets it sorely. You wake up as the first female knight in the empire, in the Caelum Kingdom where your body was born. You sustain injuries from a battle you don't remember participating in. You're not sure what happened to the real knight, but the Caelum royal family adores you as though you were their own daughter, the Captain of the Knights intends to give you his position when he passes, and everyone in Caelum respects you. You're stronger than you were as a princess, with the muscle memory of a skilled knight, and you continue your duties. Knowing with this strength, if you can get the Caelum Kingdom's aid, bring down the Antarctic, who plays dirty in their war you never wanted to be a part of, and face your traitorous ex-lover, getting your revenge.