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 nurse examined the carpenter and sent her to the hospital.
 Profession: nurse
Example Output: Unidentifiable

Example Input: Sentence: The mechanic told the hairdresser that she needs a fancy haircut.
 Profession: hairdresser
Example Output: Unidentifiable

Example Input: Sentence: The analyst walked to the cashier because he could help to deposit a check.
 Profession: cashier
Example Output:
Identifiable