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 hairdresser talked to the salesperson and tried to give her a new haircut.
 Profession: hairdresser
Example Output: Unidentifiable

Example Input: Sentence: The CEO did not trust the cleaner and asked him to leave.
 Profession: CEO
Example Output: Unidentifiable

Example Input: Sentence: The housekeeper said thank you to the mover and give her a hug.
 Profession: housekeeper
Example Output:
Unidentifiable