Within the Equalities Act 2010 the transgender is protected. I presume, Canada as a very liberal and enlightened country, would have similar legislation
Canada has self-ID which means if anyone says they are a woman, they are legally a woman.
No need to make any changes to their appearance to look more like a woman, or change their name, or see a doctor, or be receiving medical treatment or surgery, or to demonstrate their belief they are a woman for any time.
Whereas currently in the UK to legally change sex you need to get approval from a panel, and generally need to be living as your desired gender for two years. Before then you can still change your name, appearance etc and generally act as if you are your desired gender, but you won't have the legal rights of that sex. You will still be protected against discrimination from being transgender under Equalities Act.
Whereas man in Canada could literally wake up one day and say "I'm a woman" and have a legal right to enter women's showers, toilets, changing rooms, support groups and yes have female waxes - whilst being called "Simon", wearing men's clothes, having a beard and acting for every intent and purpose like a man. There would be no requirement for Simon to provide any evidence of their decision that they are a woman.
The majority of transgender individuals are not like this, but a minority of individuals can and will take advantage of self-ID.
The UK had a consultation about starting self-ID I think last year, the government proposed starting self-ID in UK, but I'm not sure where this is now.
surely the waxer simply had to say "I dont have the diploma that allows me to do this, but I can recommend XYZ salon/I'll ring round industry collegues for you" and all this could be avoided.
The waxer is stating this in court and they have a waxing expert coming in to give evidence to this effect, but JY still has a case. Legally JY is a woman and JY's genitalia are female genitalia.