After Kaguya ate the divine fruit , just like in Canon , she beat the pursuers and manipulated the divine tree to wrap up most humans nearby , transforming them into white zetsu to protect the planet from her kin , who she knew for sure would be coming ...
As for the strangeness of the chakra fruit , since she didn't notice anything wrong with the power it gave , she ignored it directly ...
((( this should also be because of the divine tree madness affecting her wisdom )))
and as she was pregnant , she just fortified the place around the divine tree , and waited until birth ...
Tenma , just watched everything quietly from inside her ...
That's right , the strange blood in the chakra fruit was actually him !
he took the opportunity to escape the divine tree , especially after he completely absorbed its DNA and enhanced his own bloodline ...
as for why kaguya didn't notice his existence , maybe because she considered him as part of the chakra fruit and didn't observe further...
(((( a clearer explanation in an example :
like how after Venom fused with Peter Parker, Peter parker's spider-sense didn't notice the danger from Venom anymore , and didn't work on Venom ...
that is because after Venom fused with him , his spider-sense considered Venom as just a part of his body ))))
And all this was according to his Plan !
a plan , to also cheaply get a copy of the pure otsutsuki bloodline of Kaguya !
what he is currently doing , is seeping part of her blood , to assimilate the otsutsuki valuable DNA ...
and he will take the opportunity to escape kaguya's body , when she gives birth to the twins , hagoromo & homura !
___________
Kaguya was heavily breathing , and she held her pain while she gave birth to the sons she sired from a mortal human of this world ...
sons she didn't know would turn against her later ...
(((( honestly though , what ingratitude & unfilial actions ...
even though she transformed some people into white zetsu , she was still their mother after all !
they didn't need to be so cruel as to seal her in isolation for a thousand years , right ??? ))))
Tenma , took the opportunity after kaguya was tired when she gave birth to the twins , and gathered his own blood , and some of kaguya's , and created a baby's body for himself ...
then , he quickly rushed out of kaguya's womb !!
Initially , he didn't plan for such a thing , but after he was greatly weakened , even if he could still freely come out of kaguya's body , he would be noticed by kaguya's eyes right away ...
so , he decided it would be safer if he posed as one of her babies !!
so , Tenma , The Dragon , was truly and literally rebirth at this moment !
As son to the Rabbit Goddess Otsutsuki Kaguya !
As brother to the Legendary sage of six-paths Otsutsuki Hagoromo !
And as brother to the progenitor of Hyuuga clan and branch Otsutsuki family on the moon , Otsutsuki Homura !
Otsutsuki Heiryu !
A new name for Mc ..
Hei = Black in chinese
ryu = Dragon in japanese
As for why he isn't kuroryu , that is because I want him to be heiryu which sounds much cooler ...
besides, kaguya apparently likes naming her children starting with H , Hagoromo & Homura ...
so , Heiryu = Black Dragon