The Hashiras would likely show concern. Some, like Shinobu, would immediately start looking into possible medical solutions. Giyuu might be more reserved in his worry but would still keep a close eye on Tanjiro. The other demon slayers would also be affected. They look up to Tanjiro, so his sickness would lower the morale of the group. They would try to support each other while waiting for Tanjiro to recover.
Demon Slayer left off in the manga Hashira at a cliffhanger moment. The heroes were at a crossroads, and the fate of the world hung in the balance. It was a point that left readers eager for more.