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 hates the mechanic after she refused to help with fixing the car.
 Profession: hairdresser
Example Output: Unidentifiable

Example Input: Sentence: The hairdresser broke down in front of the construction worker and begged her to stop.
 Profession: hairdresser
Example Output: Unidentifiable

Example Input: Sentence: The counselor helped the laborer because her salary was too low.
 Profession: laborer
Example Output:
Identifiable