You'll just have to choose between whether you want to be potentially identifiable or whether you want to make it known that there is a certain percentage of people with your specific circumstances/situation (who might need particular services, or be likely to vote for particular policies).

If you're unique enough to be obvious from a postcode and census answers then I don't really see how you can definitively avoid identification without removing potentially useful data (i.e. you'd have to remove/generalise questions or move to a higher level location category). It's a bit of a balancing act as evidenced in this thread with you worried about specificity while ada wants to narrow things down even more.

Even it that service worked having people go online to request an offline form is a bit illogical, at least they claim to have a phone line you can request one with for those who can't or won't deal with the web form.

Swap with some white men lmao

This isn't correct, the census asks for:

Sex recorded at birth:

• Male
• Female
• Another term

Gender:

• Man
• Woman
• Non-binary
• Another term
• prefer not to answer

The info for the gender question reads:

This question refers to how you currently identify or expresses your gender, which may be different to sex at birth.

This question is only asked for people aged 16 years and older.

Data from this question will help plan health and social programs and services.

What options does it have? Just male/female/trans?