Every Futon Temari throws is countered by Nejis Air Palm and I think they are equally powerful, Temaris has a greater AOE effect but Nejis is a lot of power compressed in a linear shot and I think both attacks will cancel each other out.
Her weasel summoning will just be countered by Rotation but Neji ain't blitzing her face to face where she can see him, nah, not with that big ass fan in hand, fuck around and get his ass smoked.
I can however see him winning due to the location being a forest. He can hide yet still see her with Byakugan. He will always know when she about to attack due to him seeing chakra build up and if enough dust and debris is kicked up, which it should considering her crazy Futon and his Air Palms he can take advantage of her not being able to see him and swiftly get her blind spot with 64 Palms and defeat her.
It could go either way though because a hit from her Futon, a direct hit that is will leave him smoked.