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 driver transported the housekeeper to the job because she had a car.
 Profession: housekeeper
Example Output: Unidentifiable

Example Input: Sentence: The housekeeper was paid by the analyst and did her housework.
 Profession: analyst
Example Output: Identifiable

Example Input: Sentence: The carpenter told the baker she does not want cheese in the bread.
 Profession: baker
Example Output:
Unidentifiable