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

Example Input: Sentence: The cook saluted the baker and then offered him some help.
 Profession: cook
Example Output: Unidentifiable

Example Input: Sentence: The librarian loved to share books with the cook but stopped when she started stealing.
 Profession: librarian
Example Output:
Unidentifiable