Deer meat is often referred to as venison.
Venison originally meant the meat of a game animal but now refers primarily to the meat of elk or deer. Venison can be used to refer to any part of the animal, so long as it can be consumed, including the internal organs (Wikipedia)
The last time I had venison was at my favourite restaurant which has since closed, the victim of a pandemic and a crooked landlord, It was a juicy venison burger with our homemade bacon onion jam, smoked Gouda, lettuce, tomato and Santa's secret sauce. It was amazing!
I understand venison can be a bit tricky to cook properly so I prefer to leave that to the experts.