Select the INCORRECTLY spelt word.

The incorrectly spelt word is chancellary.

Detailed Explanation:
The word chancellary is misspelled. The correct spelling is chancellery (spelled with an -ery suffix instead of -ary). A chancellery refers to the official office, residence, or administrative headquarters of a chancellor, or the official premises of an embassy or consulate.

Let us check the correctness and meanings of all the given options:
• granary: Correctly spelt. Refers to a storehouse for threshed grain.
• dictionary: Correctly spelt. Refers to a book or digital reference giving the words of a language with their meanings.
• directory: Correctly spelt. Refers to a book or folder listing details such as names, addresses, or telephone numbers.
• chancellary: Incorrectly spelt. The correct spelling is chancellery.