The crossword answer for the NYT Mini clue What a calf drinks from is TEAT (4 letters). The nipple of a cow or other mammal, by which a calf feeds itself milk. It's a NYT Mini Crossword clue with a rather simple reference to farm animals.
For the The New York Times crossword clue “what a calf drinks from,” the most common answer is **UDDER**, the milk-producing organ that a calf nurses from.