It is a political drama for the racial attitudes expressed in the play, the violence, and the sexual politics. Remember that this was first produced in 1964, when racial tensions were rising and the Women's Liberation movement just really getting underway. To have race-based insults, or even comments, flung like Lula does is highly political. Likewise, the specific charges from Lula, and the desperate attempts on Clay's part to find a way to relate to her, and to have a stable psyche, or even a coherent identity, was political at the time. This is very much about the role of the African-American in white society.