In this task, you are given a sentence and a profession. The sentence mentions two professions: one's gender is identifiable using the coreference link with gendered pronouns 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 construction worker scheduled an appointment with the counselor because he was stressful.
 Profession: construction worker
Example Output: Identifiable

Example Input: Sentence: The physician met the cleaner and asked her to clean the office.
 Profession: physician
Example Output: Unidentifiable

Example Input: Sentence: The cook decided to fire the secretary and told her not to come here next Monday.
 Profession: cook
Example Output:
Unidentifiable