The rescue of hinata is very straightforward. So this is my rescue idea. (Love this game)
In the first scenario(love path) - when the guard comes to do some mischief with Hinata like strip her into nothing but only underwear, then grope her body upper/lower. Then Boruto comes and sees his mother in disgrace. He knocked out the guard and made her free and then took Hinata home. And at night hinata gave Boruto a rescue reward.
In the second scenario(hate path) - when the guard comes to do some mischief with Hinata like strip her into nothing but only underwear, then grope her body upper/lower. Then Boruto comes and sees his mother in disgrace. But this time Boruto waited to see what happened. The guard began to lick hinata's neck, chin, back, belly, even her thighs, feet and butts(with Hinata clothes on). She can't do anything as she is locked up with chains and starts crying in degrace. But she knows she just has to resist and thinking of Damaeyo's order to the guard that they can't impure her. And the Hinata leaves some gasp of relief but suddenly the guard begins to pull his pants down (Boruto is still watching). Hinata knows what is going to happen so she screams and is kicked away the guard with her legs. The guard pain and anger punch Hinata in the face and knock her up. She is totally out cold. When the guard is going to do anything bad to her Boruto comes from behind and knocks the guard. Then Boruto reached hinata's. She is still out cold Boruto took the opportunity and did some mischief. Then took her home.