It happened around 2 a.m. Sunday on Washington Avenue near Studemont.
An HPD sergeant was driving on Washington when the driver of a BMW pulled out in front of him, authorities said.
That's when the sergeant crashed into a motorcycle that was behind the BMW, according to Houston police. The motorcyclist ran a red light, investigators said.
The woman was hospitalized with non-life threatening injuries and was given a citation for running a red light.