Butch and femme are terms used in the lesbian and gay subculture to ascribe or acknowledge a masculine (butch) or feminine (femme) identity with its associated traits, behaviors, styles, self-perception and so on.
Both the expression of individual lesbians of butch and femme identities and the relationship of the lesbian community in general to the notion of butch and femme as an organizing principle for sexual relating varied over the course of the 20th century.
This outcry is not universal however, and some groups actively fight for the opposite, i.e. Most transgender people don't like them, since by association they will be taken less seriously ("You're just pretending! Note that, despite the trope name, the correct term is transgender, not transsexual.
The latter is an outdated word from a time when sex and gender were considered synonymous, until it was realized that your biological sex isn't the end-all decisive factor on whether a person is male or female (it's mostly related to brain structure; since nature isn't perfect, a small sub-percentage of the population will develop a brain structure opposite to their biological sex, causing the disconnect, which is often described as having to wear a terrible itchy sweater and being unable to take it off).
What stood out most to me is this: It took Hoda Kotb approximately 13 minutes into her segment to ask 11-year-old Josie Romero of Tucson, Arizona: “Do you feel trapped in the wrong body?
The butch web designer Daddy Rhon created a symbol of a black triangle intersecting a red circle to represent butch/femme sexuality, which was first used at the beginning of the 21st century on the website and has started to be used elsewhere.
There is debate about to whom the terms butch and femme can apply, and particularly whether transgender individuals can be identified in this way.
For example, Jack Halberstam argues that FTM transgender persons cannot be considered butch since it constitutes a conflation of maleness with butchness.
He further argues that butch–femme is uniquely geared to work in lesbian relationships.