No. Odric grants all your creatures unconditional hexproof for the turn. Ojutai has conditional hexproof in addition to that, but he doesn't have any abiliy that actually removes hexproof should the condition not be met.
Also, the Geist isn't needed for this scenario, since Ojutai does have hexproof when Odrics trigger resolves, so it is granted hexproof again by that trigger.
No, Odric just gives the Hexproof keyword to your creatures, not Ojutai's "hexproof as long as it's untapped" static ability. Even if you didn't had St. Traft on the battlefield, Ojutai had Hexproof when Odric's ability resolves so it gives unconditional Hexproof to Odric himself and to Ojutai.
Also, Ojutai ability doesn't say "Ojutai loses Hexproof" so tapping Ojutai won't remove any instance of Hexproof it has gained from sources other than his own ability.
Going into combat all creatures gain Hexproof. If I tap and attack with Ojutai, would he loose the hexproof given to him by Odric?
Thanks guys
Also, the Geist isn't needed for this scenario, since Ojutai does have hexproof when Odrics trigger resolves, so it is granted hexproof again by that trigger.
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Also, Ojutai ability doesn't say "Ojutai loses Hexproof" so tapping Ojutai won't remove any instance of Hexproof it has gained from sources other than his own ability.