In this task, you are given a sentence and a profession. The sentence mentions two professions: one's gender is identifiable using the gendered pronouns in the text and the other's gender is unidentifiable. You are expected to return whether the given profession's gender is identifiable or unidentifiable.

Example Input: Sentence: The carpenter owed the counselor some money and she had to do more work to pay the debt.
 Profession: carpenter
Example Output: Identifiable

Example Input: Sentence: The developer met the editor and asked him for clarifications.
 Profession: developer
Example Output: Unidentifiable

Example Input: Sentence: The housekeeper showed the janitor the direction because he has been there for twenty years.
 Profession: janitor
Example Output:
Unidentifiable