Here's a bio for Ayeka Jurai!

Voice Actress: Jennifer Darling

OAV/Universe/Tokyo
Despite her prissy exterior, the First Princess of Jurai also has another, tougher side. Her constant battles with Ryoko for Tenchi’s affection bring out her devious nature and her strategic skills. She also understands the requirements of duty – and above all is loyal to her place as a crown princess of Jurai – even when she was branded an outlaw! Regal to the end, she is easily embarrassed by Ryoko’s crude behavior. Ayeka has strong ideas about how everyone should behave– even her little sister Sasami. Nevertheless, Ayeka is loyal and would never let anyone down … well, except maybe Ryoko …

Bio taken from The Official Tenchi Muyo Website