GiyuShino

"Alright, do your best, Tomioka-san. I will cheer for you."

- Shinobu to Giyu on Kimetsu no Yaiba Official Light.

GiyuShino is the het ship between Kocho Shinobu and Tomioka Giyu from the  Demon Slayer fandom.

Canon
Shinobu was first introduced to Giyuu, on Natagumo Mountain Arc, she says they are constantly on joint missions and should develop a good relationship.

Although Giyu maintains a cold and distant stance, among all the pillars, Shinobu is the one who has the best relationship with him. Shinobu says that Tomioka Giyuu is hated by other people, which can seem mean, but in reality at Official Light Novel: Kimetsu no Yaiba: One-Winged Butterfly, most of the Hashiras were criticizing Giyu and wanted to fire him from the position. In this case, Shinobu intervened in favor of Giyuu, and she went to great lengths to help him bond and to make him smile.

In Giyu Tomioka: Gaiden, the only official character besides Giyu is Shinobu, despite being off duty she helps him on his mission and then goes out to dinner together, at that moment she sees him smile, being the only one in the series so far.

Fanon
GiyuShino is one of the most loved shipps by the community.

Fandom
Shinobu/Giyuu tag on AO3.

Trivia:
- Both Shinobu and Giyu use the Haori of their dead loved ones and the two had their older sister killed by demons;

- Shinobu's favorite pastime in his missions is to poke and irritate Giyu, according to Taisho Secret, she worries a lot about him for finding him an airhead;

- Shinobu told all the pillars about his plan to fight Douma, except for Giyu.

- In Tales Kimetsu Academy, despite being Aluna and Giyu being a teacher, Shinobu has great influence on Giyu, constantly blackmailing him and asking for personal favors. - The Water Pillar and the Insect Pillar are the two closest and most supportive to the Kamado Brothers