booker vs booking agent

booker and booking agent both are nouns.

Word	Noun	Adjective	Verb	Adverb
booker	Yes	No	No	No
booking agent	Yes	No	No	No

As nouns, booker and booking agent are synonyms defined as:

booker and booking agent: someone who engages a person or company for performances

booker (noun)	booking agent (noun)
someone who engages a person or company for performances	someone who engages a person or company for performances