Without any provided plot details or character information for 'Rigadin fait un riche mariage', it is impossible to assess the presence or portrayal of LGBTQ+ themes or characters. No evaluation can be made.

The film "Rigadin fait un riche mariage" does not contain any identifiable transsexual characters or themes. Its narrative, typical of early 20th-century French comedies, focuses on farcical situations and mistaken identities without engaging with gender identity.

The movie does not contain any action or adventure elements.

This 1913 silent comedy features original characters, primarily Rigadin, who was consistently portrayed as male throughout the film series. There is no evidence of the film adapting source material or historical figures where a character's established gender was changed.

The film is an original work from 1913, not an adaptation of source material with pre-established character races or a biopic of historical figures. Consequently, no character could have been canonically or historically established as one race and then portrayed as a different race within this film.