A/N New one! This time from the point of view of Hestia!
Hestia
From the moment Apollo fell, she had heard Apollo's silent subconscious plea for a family. She experienced the love he felt for his children, the fear of what could happen should they accompany him on his quest. The annoyance with Leo and Calypso as they traveled for six weeks in close proximity. She felt his anger and guilt at the troubles he experienced.
More then anyone she was aware of the pain he was going through as more and more people slowly became apart of his family. The guilt that plagued him, the worry of having to say another goodbye.
This desperation was stronger then anything she had ever felt from him before.
Hestia as well as all the other Olympians were well aware of Apollo's love. The length he could go to protect someone, and if not protect then avenge.
But she had never felt Apollo's desperation like this before. Never had been so prepared to sacrifice himself. Never had any of her family been so prepared to risk everything to save their friends.
At that moment she felt everyone's pain as their brother, son, nephew, risked it all. Artemis nearly screamed in horror when she saw what had happened. Zeus was clutching his throne so tightly he nearly broke off the seat. She felt Ares worry (though he would never admit it) and Hermes concern. Even back in Greece she could feel Asclepius worry that he would have to say goodbye to his father to soon.
Then collectively breathe a sigh of relief when Medea saved Apollo's life.
The Jason died, and her nephew's response to it. She could feel him choking on his own grief and horror and anger.
She could feel Zeus's anger and him wanting to just blame Apollo for it. For taking Jason along on a quest that he knew could kill him, and with a heavy heart realize that after what had just happened, he just… couldn't.
Piper's anger was understandable, but Hestia just wanted to hold Apollo. She wanted to scream at Piper, tell her what Apollo had sacrificed, but Hestia had dealt with family grief before, and she knew that Piper was too angry to listen to reason.
Then… Apollo was flayed. They're in the Labyrinth as he forgot who he was. It was all Hestia could do to keep what little he had within his mind. She could feel his memory of Olympus of his immortal family falling away. Artemis was already becoming indistinct, but Hestia did what she could at least until Apollo started finishing his own prophecy and Piper struck Medea down.
A/N I feel as the guardian of family's Hestia would be subjected to Apollo's thoughts and feelings a lot more then the other Olympians (I think Hera might be the close second, but I think Hera's more marriage then family) So Hestia would be far more intuned to what Apollo was going through on his quest and just how desperate he was to save his family.