From the Sex Matters link:
Do I have to “state my pronouns” at work?
No. There haven’t been any legal cases on this yet but organisations encouraging their employees to announce their pronouns are imposing the manifestation of a belief on them and can put people who don’t share the belief in gender-identity ideology at a disadvantage. It could even amount to indirect discrimination.
Refer them to that, for starters; do they really want to cause a discrimination case?
On Maya Forstater:
https://www.doyleclayton.co.uk/resources/news/forstater-v-cgd-europe-ors-maya-forstater-succeeds-employment-tribunal/
Gender critical beliefs are protected in the workplace Judgment has been received in one of the most important Employment Tribunal claims of recent years: Doyle Clayton client Maya Forstater has succeeded in showing that she was discriminated against on the basis of her gender critical beliefs, a protected characteristic under the Equality Act 2010. This judgment establishes that gender critical beliefs are protected in the workplace.
Doyle Clayton partner Peter Daly, who has represented Ms Forstater throughout her litigation, said:
“This is an extremely important judgment. Maya Forstater’s successful appeal last year demonstrated that gender critical beliefs were in principle protected by the Equality Act and the European Convention on Human Rights. This judgment is the “proof of concept” of that principle, and shows that those legal protections are tangible and enforceable. Gender critical people cannot be discriminated against on the basis of their beliefs, and the courts will protect them where unlawful discrimination occurs.
https://www.jmw.co.uk/services-for-you/employment-law/blog/what-does-decision-forstater-v-cgd-mean-employers
What does this mean for employers?
This decision gives gender-critical beliefs the same legal protections as religious, environmental and ethical veganism philosophical beliefs. Therefore, anyone sharing these protected characteristic are protected from unlawful discrimination and harassment.
https://www.lewissilkin.com/en/insights/maya-forstater-wins-gender-critical-belief-claim
The Equality Act provides that it is unlawful to discriminate against someone because of a protected characteristic. “Religion or belief” is one of the nine specified protected characteristics. “Gender reassignment” and “sex” are also protected characteristics. The Forstater case has become the most prominent case on the potential conflict between “gender-critical beliefs” and the rights of transgender and non-binary people, which remains a highly challenging area for employers.