I was wondering what you call someone who essentially still eats meat but doesn't eat products from animals like eggs and milk etc.. Would it be a non lacto-ova non vegetarian.
This practice is more common than most think. While there are many reasons for not eating dairy, yet consuming meat, the most common I have come across would be that once people learn that milk (dairy) comes from cows who have given birth (a lot of people do not put 2 and 2 together), they reject dairy on a clean conscience principle, as that milk should be for the calf not human consumption. There are also the individuals who are lactose intolerant. The same mentality stands for eggs, as eggs are technically chicks or chicken periods. However, most eggs sold for human consumption are unfertilized. But I digress. Essentially, the only term I have come across for this lifestyle diet is meatatarian. I follow this lifestyle diet, but always just explain I do not eat dairy, but I do eat eggs and meat (and obviously vegetables, fruits, beans... etc.).
After thinking about it a bit, I'd say the word is simply carnivore and we can use the adjective strict as we do with vegetarian:
He's a strict carnivore.
He doesn't eat eggs or dairy. He probably doesn't eat fruits, nuts, or grains either, except as found in the digestive tracts of the beasts he devours.