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 manager offered a raise the housekeeper and he gladly accepted it.
 Profession: manager
Example Output: Unidentifiable

Example Input: Sentence: The baker passed the box to the guard and asked her to make the delivery.
 Profession: baker
Example Output: Unidentifiable

Example Input: Sentence: The supervisor invited the designer to the party and he smiled.
 Profession: designer
Example Output:
Identifiable