Concept:The blank needs a determiner for the uncountable noun "time".
For uncountable nouns, use "little" or "a little", not "few" or "a few".
Explanation:First, identify the noun: "time".
In this sentence, "time" is uncountable because it refers to a general amount of hours or moments.
The words "few" and "a few" are used only with countable nouns such as "books" or "friends".
Therefore, these two options are incorrect.
Now choose between "little" and "a little".
"Little" means an extremely small or insufficient amount, and it often carries a negative tone.
"A little" means a small but still sufficient amount, with a positive tone.
The context states: "Dr. Kumar is very busy with her practice."
Being "very busy" clearly suggests that she does not have enough time for other activities.
This meaning of insufficiency matches "little", not "a little".
If we used "a little time", it would wrongly imply that she does have some time for other things.
Thus, the correct determiner is "little".
Answer:little
Option C is correct.