Ha ha the Greeks call my pillow Max and Larry.
English maxillary refers to the jawbone.
Hint by "the" suggests it is η μαξιλάρι, not το μαξιλάρι
That's weird, I've checked and the first hint that comes up for the word "the" before the word "pillow" is "το". Maybe the change is not immediately visible to learners.
Using το before μαξιλάρι is still not accepted on Dec 25 2019
That's the displayed translation as shown above. There must have been some other mistake in your answer.