I already said that transgender people "should be treated with dignity and respect". However I can understand why, for example an employer might not want to hire a man with gender dysphoria for certain jobs within their business.
A biological man in a dress at a reception desk might not be the image a company wants.
Do you understand how you totally misrepresented Peterson's position?
Then please explain his position to me, in particular where the actual harm is in C 16. This is supposedly a major threat to free speech, something radically new which is why he speaks out with no regard to his job, career or freedom (according to himself), so it should be fairly easy.
As to your example, yes, I too can also understand why you don't want a man in some jobs (for instance, cleaning the women's shower in the swimming pool), or you don't want a 69-year-old as a bouncer in a club, or a person who refuse to handle pork on religious grounds in a restaurant. These too are protected characteristics (gender, age, religion) but these examples do not present insurmountable obstacles to the courts or civil society.
The kind of example which is in mind for these laws is that where your local firefighter is fired because the boss decides he is no longer a "real man" now that he likes to dress up as a woman in the weekend. Is that in your opinion discrimination that should be legal?
BTW. the standards for "harassment" (which I think is what Jordan is getting at with the legal business and not using pronouns) is quite high when it comes to the other protected characteristics. At best, he might get in troubles with his university, but that remains to be seen and is (as you noted) a place where it is reasonable to let the employer use some discernment in terms of who should represent the university.
The alt-right keeps banging on with these slippery-slope arguments when it comes to transsexuals without understanding that these obstacles are already successfully navigated for N-1 other similar characteristics and their associated potential problems.