Ok.
The kids six. I would question what a six year old actually understands about sex/ gender/ sexuality. Think they are really in an informed position to declare they have been born in the wrong body?
Think family make up is irrelevant. The parents can be cis heterosexuals, gender fluid, gay, identify as apache helicopters, non-binary, whatever next. The kid is six.
Moving onto society. Let's start with you, well volunteered.
Do you have a problem with transgenders?
Do you have a problem with young kids being exposed to this at such a young age and in some cases encouraged/ supported to transgender?