Final answer:
The question appears to reference an avant-garde director focusing on feminism and gender, but none of the described figures directly fit this identification. Closest references include influential director Peter Brook and art historian Griselda Pollock, known for her feminist critique, although they are not specifically labeled as the avant-garde director in question.
Step-by-step explanation:
The English avant-garde director who reinterpreted traditional texts with a focus on sociopolitical issues including feminism and gender is not explicitly identified among the individuals discussed. While several artists and directors who dealt with feminist themes and had political bents in their work are mentioned across the provided information, such as Anne Bogart and the influential director Peter Brook, none of them are singled out as fitting this particular description perfectly. Nevertheless, this type of avant-garde work aligns with the approaches of feminist critique in art and theatre as enacted by the likes of Griselda Pollock and performance artists associated with the second-wave feminism, who engaged in reasserting women's agency by challenging patriarchal gazes and invisible domestic labor.