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 baker handed the mechanic the cake and waited for her to pay.
 Profession: baker
Example Output: Unidentifiable

Example Input: Sentence: The salesperson chatted with the cleaner because he wanted to buy a vacuum.
 Profession: cleaner
Example Output: Identifiable

Example Input: Sentence: The hairdresser was fine with the farmer 's silence and cut her hair.
 Profession: farmer
Example Output:
Identifiable