Yeel Cheese is a generic term for cheese served at Yule celebrations in Scotland.
No specific type of cheese seems to be specified. Instead, it was just the cheese picked out that year for the Yule celebrations.
The first cut into it had to be done by the master of the household (by definition a man), otherwise it would bring bad luck.
Language Notes
In Scots, Yeel Cheese was called “Yeel kebback “, with “Yeel” meaning “Yule” and “kebback” meaning “cheese.”