Based on available information, I, the Executioner does not feature explicit LGBTQ+ characters or themes. The film's narrative primarily revolves around crime, justice, and action thriller elements, with no noted exploration of LGBTQ+ presence or issues within its storyline or character dynamics.

Based on the provided information, there are no available details describing the presence or portrayal of transsexual characters or themes in 'I, the Executioner'. Therefore, an assessment of its impact on trans representation is not possible from the given context.

The provided information indicates the inclusion of a female detective in a significant role, suggesting female representation. However, it does not detail any specific scenes where a female character engages in and wins close-quarters physical combat against one or more male opponents. The film's primary focus remains on male characters and their action.

The film "I, the Executioner" does not feature gender-swapped characters. It maintains traditional gender roles with male leads and female supporting characters, consistent with the crime thriller genre, and no sources indicate any gender swaps in casting or character portrayal.

The film is an original South Korean production featuring a Korean cast and setting. There is no indication of characters being established as one race in prior material and then portrayed as a different race in this film.