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 couldn't understand the laborer and stared at her.
 Profession: housekeeper
Example Output: Unidentifiable

Example Input: Sentence: The accountant asked the manager for help and hoping that she would.
 Profession: manager
Example Output: Identifiable

Example Input: Sentence: The hairdresser outran the mover and laughed at her.
 Profession: hairdresser
Example Output:
Unidentifiable