The adjective servile means a person who is too eager to obey someone or do things for them.
Synonyms are grovelling, subservient, abject, or beggarly.
The word origins from Latin servilis meaning “of a slave” (as in Servile Wars, name given to the slave revolts in the late Roman Republic), also “slavish, servile”, and servus meaning “slave”.
He’s working on a menial job but he doesn’t feel servile in the resort.
You can be pleasant without appearing servile.
The dog patiently waits for its master’s signal and appearing absolutely servile.