Lucina's white costume is based on Severa, a red-haired female swordswoman who serves as a member of the party Lucina belongs to.
The music track is based on the theme song from Fire Emblem Awakening, which features Severa as a party member.
The battle condition references Severa's personal skill, Fierce Rival, which guarantees her a critical attack when the lead character lands a critical attack themselves.
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Don’t listen to what she may tell you, Severa is quite proficient in the art of the blade. Roped into Mercenary work to earn back a family heirloom that was stolen from her, she is able to take back what’s hers thanks to the help of Chrom and the Shepherds. They discover that she is one of Lucina’s comrades from the future, and Severa joins them to continue her mission.