Sword Princess Amaltea volume 3 manga

In a fairytale world where Queens rule and magic is power, Princess Amaltea is sent on the biggest quest of her life -- to rescue a prince in need and fulfill her duties as a princess. Spoiled, prejudiced and sheltered from the world at large, Amaltea reluctantly sets out on her journey and finds her "lad in distress"... only to find out he's not so willing to join her. This is volume 3 of the series