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 talked to the salesperson for a while and rejected her product.
 Profession: housekeeper
Example Output: Unidentifiable

Example Input: Sentence: The baker charged the farmer more money and did not want to give her more bread.
 Profession: baker
Example Output: Unidentifiable

Example Input: Sentence: The hairdresser walked towards the sheriff and thanked her for catching the thief.
 Profession: hairdresser
Example Output:
Unidentifiable