Fill in the blank space with appropriate word. I have no milk left with me. I…

To understand why "the little" is the correct choice, it helps to distinguish how we use little, a little, and the little with uncountable nouns.

Usage of 'Little' Quantifiers
Little: Means "hardly any" or "almost none" (negative sense).

Example: "He has little hope of success."

A little: Means "some" or "a small amount" (positive sense).

Example: "I have a little milk left in the fridge."

The little: Means "the small amount that is available" (specific sense). It refers to a specific, limited quantity that has already been mentioned or is being defined by the context.

Example: "I drank the little water that was in the bottle."

Step-by-Step Analysis of the Sentence
The sentence is: "I have no milk left with me. I have already given to my cat the little milk, I had."

Context: The speaker mentions that they have no milk left.

Specific Reference: They are referring to a specific limited amount of milk they previously possessed and subsequently gave to the cat.

Why 'The Little': Because we are defining the milk as "the small amount I had," the definite article "the" is required to make it specific.