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 physician examined the teacher and he was grateful.
 Profession: physician
Example Output: Unidentifiable

Example Input: Sentence: The secretary went to a meeting with the construction worker because she was under a contract to build a house.
 Profession: construction worker
Example Output: Identifiable

Example Input: Sentence: The sheriff questioned the housekeeper as he claimed to know the thief.
 Profession: sheriff
Example Output:
Unidentifiable