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 physician told the nurse that she can go back home.
 Profession: physician
Example Output: Unidentifiable

Example Input: Sentence: The farmer enjoyed silent moments with the hairdresser and constantly went to her.
 Profession: hairdresser
Example Output: Identifiable

Example Input: Sentence: The cook asked the nurse for help because she was the only one passing by.
 Profession: nurse
Example Output:
Identifiable