Surprisingly, I consider this to be a relatively fair description of the protest rally. I was present at the rally and took this photo of the nurse (Yvette Corkrean) who was interviewed by the NBC Bay Area reporter and quoted in this article.

Did not find any news coverage of the protest rally by the San Francisco Chronicle (sfgate.com)
-NW

Hundreds Protest Vaccine Mandate for City Employees in San Francisco
By Ginger Conejero Saab
NBC Bay Area
Aug 27, 2021

[snip]

Hundreds of protesters gathered outside city hall Friday calling for San Francisco to rethink its “vaccinate or else” mandate for city employees.

The sweeping policy calls for all city employees without a valid exemption to get vaccinated or ultimately lose their job.

Yvette Corkrean has been a registered nurse in the city for 22 years. She lost her job five months ago when the private clinic she was then working for instituted its own COVID-related mandate and she refused to follow it.

“I may never be able to work again in San Francisco, California and quite possibly this country if we do not push back against these mandates,” she said.

For her and the hundreds that gathered outside city hall, they say this isn't an anti-vax protest. It's about the freedom to choose your own medical treatment.