The correctly spelled word is "colleague." It is a noun that means a person who works with another person in a professional or business environment. The word comes from the Latin word "collega," which means "fellow worker."

The other options are incorrect because they are not spelled correctly. "Coleagu" is missing the "e" at the end. "Colleagu" is missing the "g" in the middle. "Coleague" is missing the "l" at the beginning.

It is important to spell words correctly, especially when you are writing in a professional setting. Misspelling words can make you look unprofessional and can make it difficult for others to understand what you are trying to say.