Is a Switched Reluctance Motor (SRM) a AC motor or a DC motor?
The terms AC motor and DC motor are not generic terms for all types of motors. They are specific terms associated with particular motor typologies. For example, in brushless permanent magnet motors, the term DC motor refers to a motor that has a trapezoidal back EMF waveform, while the term AC motor refers to one with a sinusoidal waveform. For induction motors the terms make no sense, since all induction motors require a sinusoidal excitation current. For wound motors, the term refers to motors that are self-rectifying, and can run from an alternating supply (although they are more commonly called universal motors).

With regards to switched reluctance machines, the term makes no sense and I have never heard it used. But to answer the rest of your question, yes, the current in the coils of an SRM is unidirectional. This simplifies the drive circuitry and is one of the advantages of the design.