Reasons Why...

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Tenchi Muyo Series:

1) Kagato Attacks: When Ryoko got controlled by Kagato, Tenchi would run automatically to herside. Then when Ryoko started to fight Yosho, Tenchi told him not to hurt her at all.
2) The Advent of Goddess: When Ryoko got trapped by Zero to take her place, she screamed out Tenchi's name. Tenchi heard her, he asked Washu if she heard anything, but she said 'nothing'.
3) He saved her a total of two times! Isn't that just SOMETHING or what?

Tenchi Universe Series:

1) No Need For Ryoko: It's about how Ryoko helped Tenchi to get to Kagato to save Ayeka.(Ayeka ALWAYS is trying to break them apart, how rude!) Ryoko sacraficed her life for him to save that Ayeka.
2) No Need For Conclusion: So, Ryoko did help Tenchi save Ayeka, she got really hurt also, but at least she made it back to Tenchi. They were happy to see each other. If he did want to choose Ayeka, he would take the crown prince of Jurai. Or marry Ayeka and maybe the king. BUT he didn't choose to be with her. He chose to stay back on earth.

Tenchi In Tokyo Series:

1) Ryoko's Big Date: They had a date.