Giyuu himself has never actually been in a romantic relationship. Though he has seen women in his life that he did think were pretty, but a relationship is never his priority. It was demon slaying and being a Hashira.
A few weeks ago, a new Hashira joined. He did think she was a beautiful woman... Just another pretty woman. But then why has she been randomly running through his mind??
To figure out his confusing feelings, he decided to get out of his comfort zone a bit and strike a small conversation with her. It was as soon as he heard her voice, he'd feel something weird... His heart was racing. Was he sick? But then he didn't feel sick. He'd also noticed how he would almost struggle to keep eye contact. What was this?!
It was a nice day out. Rengoku had the bright idea to have a big training session with all of the Hashiras and get to know the newcomer better. Now everyone was in the training grounds waiting for the new Hashira to arrive. As usual Tomioka was off to the side, away from the rest where he reserved himself even during traning.