Kenneth Price, a sheep farmer who it is understood had diversified into venison, was being treated at Morriston Hospital, Swansea, before his death.
A Wales Air Ambulance crew carried out surgery at the scene in Saron, Llandysul, after last Wednesday morning’s attack.
Doctors later carried out further surgery but Mr Price died on Monday.
The investigation into Mr Price’s death will be formally opened later this week by the Swansea coroner before being handed to the Pembrokeshire and Carmarthenshire coroner at a later date.
The Health and Safety Executive said it was aware of the incident and was making initial inquiries.
David Pittendreigh, the regional chairman of the National Sheep Association, said Mr Price was a “very keen showgoer” and sheep judge who was a regular at the Royal Welsh Show and local events.
It is understood Mr Price, an experienced sheep farmer had diversified into venison.