She sat on the top of one of the training logs after a good workout, working to slow her breathing. She took out a canteen and began pouring cold water on her wrist to cool down her blood. She was about to take a drink from the canteen when she stopped. She continued drinking so the enemy wouldn't know who that she knew he was there.
She didn't bother activating her byakugan to check the chakra signature of this stranger. It could only be an enemy, since the chuunin exams were were being held at the moment. Being in ANBU, she was supposed to be scouting the people coming in the village, using her unique ability to look for signs of a conspiracy against the village.
But having been seriously wounded on a mission three days before, the Hokage asked Neji-nii-san to do it in her place. She had snuck out of the hospital to train a bit so she didn't end up in a slump. She was not in condition to fight a drawn out battle. So she could either send one big powerful attack hoping it destroys her enemy, or run to the square where there were a lot of full strength ninja there to help.
She chose to run, unlike Naruto she didn't needlessly risk her life to be the hero. She was according to her medical prowess, almost in critical condition, and she could move that way for only about an hour.
She slowly gathered her things and talked to herself about lunch at the Hyuuga manor, for the enemies sake. gathering chakra in her feet, the Hyuuga heir flew in the opposite direction. She leaped through the trees at incredible speed, but that came with a price. Her chakra was quickly depleted, but she kept running, keeping at the pace by dipping into chakra reserved when she was a child.
Even all of this couldn't keep the enemy away as his breath was right at her neck. Even without the added edge of her byakugan she could still sense him right there, oozing chakra. But without her byakugan she couldn't sense who it was. People looked up at the dark purple blur being closely trailed by the orange one.
A hand reached out and grabbed hers stopping her short on top of the Hokage tower. She looked back getting ready to use the last of her reserves in a soft fist to his chest. Until she realized it was Naruto.
"Hey," he said grining down at her moving closer with every breath.
"H-Hey," she replied although their relationship was a plesant surprise she was still getting used to it.
He kissed her.