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Rocket Engine

In spite of some debate, it's perfectly acceptable to refer to a rocket motor as a "rocket motor" or a "rocket engine."

A motor is defined as "something which produces motion" which is an accurate description of a rocket motor (or engine).

An engine is defined as "something which converts energy into mechanical force or motion" - again, an accurate description of a rocket engine (or motor).

References:

You Might be a Rocketeer If .... (Article)
Rocket Motor (Miscellaneous)
Rocket Motors (Miscellaneous)
Irv Wait applied for a patent for a "Rocket Engine Igniter" which later was marketed as the Centuri Sure-Shot igniter on October 18, 1965.
Irv Wait received a patent for a "Rocket Engine Igniter" which later was marketed as the Centuri Sure-Shot igniter on January 21, 1969.